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Finding the Third Proportional to 162,331 and 249,653

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Solution

The third proportional to 162,331 and 249,653 is: 383,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,331 : 249,653 = 249,653 : x
  2. Step 2: Convert to fraction form
    162,331/249,653 = 249,653/x
  3. Step 3: Cross multiply
    162,331x = 249,653 × 249,653
  4. Step 4: Simplify right side
    162,331x = 62,326,620,409
  5. Step 5: Solve for x
    x = 62,326,620,409/162,331
  6. Step 6: Final answer
    x = 383,947.74

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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.