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Finding the Third Proportional to 156,822.38 and 249,534.75

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Solution

The third proportional to 156,822.38 and 249,534.75 is: 397,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,822.38 : 249,534.75 = 249,534.75 : x
  2. Step 2: Convert to fraction form
    156,822.38/249,534.75 = 249,534.75/x
  3. Step 3: Cross multiply
    156,822.38x = 249,534.75 × 249,534.75
  4. Step 4: Simplify right side
    156,822.38x = 62,267,591,457.56
  5. Step 5: Solve for x
    x = 62,267,591,457.56/156,822.38
  6. Step 6: Final answer
    x = 397,058.08

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Why These Related Problems?

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