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Finding the Third Proportional to 160,260.75 and 249,139.13

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Solution

The third proportional to 160,260.75 and 249,139.13 is: 387,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,260.75 : 249,139.13 = 249,139.13 : x
  2. Step 2: Convert to fraction form
    160,260.75/249,139.13 = 249,139.13/x
  3. Step 3: Cross multiply
    160,260.75x = 249,139.13 × 249,139.13
  4. Step 4: Simplify right side
    160,260.75x = 62,070,303,605.77
  5. Step 5: Solve for x
    x = 62,070,303,605.77/160,260.75
  6. Step 6: Final answer
    x = 387,308.21

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