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Finding the Third Proportional to 162,324.75 and 249,643.13

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Solution

The third proportional to 162,324.75 and 249,643.13 is: 383,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,324.75 : 249,643.13 = 249,643.13 : x
  2. Step 2: Convert to fraction form
    162,324.75/249,643.13 = 249,643.13/x
  3. Step 3: Cross multiply
    162,324.75x = 249,643.13 × 249,643.13
  4. Step 4: Simplify right side
    162,324.75x = 62,321,689,859.77
  5. Step 5: Solve for x
    x = 62,321,689,859.77/162,324.75
  6. Step 6: Final answer
    x = 383,932.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.