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Finding the Third Proportional to 160,250 and 249,114

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Solution

The third proportional to 160,250 and 249,114 is: 387,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,250 : 249,114 = 249,114 : x
  2. Step 2: Convert to fraction form
    160,250/249,114 = 249,114/x
  3. Step 3: Cross multiply
    160,250x = 249,114 × 249,114
  4. Step 4: Simplify right side
    160,250x = 62,057,784,996
  5. Step 5: Solve for x
    x = 62,057,784,996/160,250
  6. Step 6: Final answer
    x = 387,256.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.