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Finding the Third Proportional to 249,165 and 386,851.50

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Solution

The third proportional to 249,165 and 386,851.50 is: 600,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,165 : 386,851.50 = 386,851.50 : x
  2. Step 2: Convert to fraction form
    249,165/386,851.50 = 386,851.50/x
  3. Step 3: Cross multiply
    249,165x = 386,851.50 × 386,851.50
  4. Step 4: Simplify right side
    249,165x = 149,654,083,052.25
  5. Step 5: Solve for x
    x = 149,654,083,052.25/249,165
  6. Step 6: Final answer
    x = 600,622.41

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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.