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Finding the Third Proportional to 210,613.50 and 497,191.50

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Solution

The third proportional to 210,613.50 and 497,191.50 is: 1,173,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,613.50 : 497,191.50 = 497,191.50 : x
  2. Step 2: Convert to fraction form
    210,613.50/497,191.50 = 497,191.50/x
  3. Step 3: Cross multiply
    210,613.50x = 497,191.50 × 497,191.50
  4. Step 4: Simplify right side
    210,613.50x = 247,199,387,672.25
  5. Step 5: Solve for x
    x = 247,199,387,672.25/210,613.50
  6. Step 6: Final answer
    x = 1,173,711.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.