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Finding the Third Proportional to 156,840 and 249,277.50

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Solution

The third proportional to 156,840 and 249,277.50 is: 396,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,840 : 249,277.50 = 249,277.50 : x
  2. Step 2: Convert to fraction form
    156,840/249,277.50 = 249,277.50/x
  3. Step 3: Cross multiply
    156,840x = 249,277.50 × 249,277.50
  4. Step 4: Simplify right side
    156,840x = 62,139,272,006.25
  5. Step 5: Solve for x
    x = 62,139,272,006.25/156,840
  6. Step 6: Final answer
    x = 396,195.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.