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Finding the Third Proportional to 160,273.13 and 249,152.06

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Solution

The third proportional to 160,273.13 and 249,152.06 is: 387,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,273.13 : 249,152.06 = 249,152.06 : x
  2. Step 2: Convert to fraction form
    160,273.13/249,152.06 = 249,152.06/x
  3. Step 3: Cross multiply
    160,273.13x = 249,152.06 × 249,152.06
  4. Step 4: Simplify right side
    160,273.13x = 62,076,750,248.00
  5. Step 5: Solve for x
    x = 62,076,750,248.00/160,273.13
  6. Step 6: Final answer
    x = 387,318.52

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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.