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Finding the Third Proportional to 209,160 and 315,708

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Solution

The third proportional to 209,160 and 315,708 is: 476,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,160 : 315,708 = 315,708 : x
  2. Step 2: Convert to fraction form
    209,160/315,708 = 315,708/x
  3. Step 3: Cross multiply
    209,160x = 315,708 × 315,708
  4. Step 4: Simplify right side
    209,160x = 99,671,541,264
  5. Step 5: Solve for x
    x = 99,671,541,264/209,160
  6. Step 6: Final answer
    x = 476,532.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.