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Finding the Third Proportional to 209,566.50 and 314,364

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Solution

The third proportional to 209,566.50 and 314,364 is: 471,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,566.50 : 314,364 = 314,364 : x
  2. Step 2: Convert to fraction form
    209,566.50/314,364 = 314,364/x
  3. Step 3: Cross multiply
    209,566.50x = 314,364 × 314,364
  4. Step 4: Simplify right side
    209,566.50x = 98,824,724,496
  5. Step 5: Solve for x
    x = 98,824,724,496/209,566.50
  6. Step 6: Final answer
    x = 471,567.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.