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Finding the Third Proportional to 162,327 and 249,646

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Solution

The third proportional to 162,327 and 249,646 is: 383,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,327 : 249,646 = 249,646 : x
  2. Step 2: Convert to fraction form
    162,327/249,646 = 249,646/x
  3. Step 3: Cross multiply
    162,327x = 249,646 × 249,646
  4. Step 4: Simplify right side
    162,327x = 62,323,125,316
  5. Step 5: Solve for x
    x = 62,323,125,316/162,327
  6. Step 6: Final answer
    x = 383,935.67

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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.