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Finding the Third Proportional to 210,249 and 473,134.50

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Solution

The third proportional to 210,249 and 473,134.50 is: 1,064,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,249 : 473,134.50 = 473,134.50 : x
  2. Step 2: Convert to fraction form
    210,249/473,134.50 = 473,134.50/x
  3. Step 3: Cross multiply
    210,249x = 473,134.50 × 473,134.50
  4. Step 4: Simplify right side
    210,249x = 223,856,255,090.25
  5. Step 5: Solve for x
    x = 223,856,255,090.25/210,249
  6. Step 6: Final answer
    x = 1,064,719.71

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.