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Finding the Third Proportional to 162,988 and 249,327

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Solution

The third proportional to 162,988 and 249,327 is: 381,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,988 : 249,327 = 249,327 : x
  2. Step 2: Convert to fraction form
    162,988/249,327 = 249,327/x
  3. Step 3: Cross multiply
    162,988x = 249,327 × 249,327
  4. Step 4: Simplify right side
    162,988x = 62,163,952,929
  5. Step 5: Solve for x
    x = 62,163,952,929/162,988
  6. Step 6: Final answer
    x = 381,402.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.