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Finding the Third Proportional to 156,889.13 and 249,321.38

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Solution

The third proportional to 156,889.13 and 249,321.38 is: 396,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,889.13 : 249,321.38 = 249,321.38 : x
  2. Step 2: Convert to fraction form
    156,889.13/249,321.38 = 249,321.38/x
  3. Step 3: Cross multiply
    156,889.13x = 249,321.38 × 249,321.38
  4. Step 4: Simplify right side
    156,889.13x = 62,161,148,031.89
  5. Step 5: Solve for x
    x = 62,161,148,031.89/156,889.13
  6. Step 6: Final answer
    x = 396,210.69

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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.