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Finding the Third Proportional to 162,342 and 249,669

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Solution

The third proportional to 162,342 and 249,669 is: 383,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,342 : 249,669 = 249,669 : x
  2. Step 2: Convert to fraction form
    162,342/249,669 = 249,669/x
  3. Step 3: Cross multiply
    162,342x = 249,669 × 249,669
  4. Step 4: Simplify right side
    162,342x = 62,334,609,561
  5. Step 5: Solve for x
    x = 62,334,609,561/162,342
  6. Step 6: Final answer
    x = 383,970.94

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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.