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Finding the Third Proportional to 160,347 and 249,250.50

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Solution

The third proportional to 160,347 and 249,250.50 is: 387,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,347 : 249,250.50 = 249,250.50 : x
  2. Step 2: Convert to fraction form
    160,347/249,250.50 = 249,250.50/x
  3. Step 3: Cross multiply
    160,347x = 249,250.50 × 249,250.50
  4. Step 4: Simplify right side
    160,347x = 62,125,811,750.25
  5. Step 5: Solve for x
    x = 62,125,811,750.25/160,347
  6. Step 6: Final answer
    x = 387,446.05

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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.