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Finding the Third Proportional to 162,281 and 249,591

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Solution

The third proportional to 162,281 and 249,591 is: 383,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,281 : 249,591 = 249,591 : x
  2. Step 2: Convert to fraction form
    162,281/249,591 = 249,591/x
  3. Step 3: Cross multiply
    162,281x = 249,591 × 249,591
  4. Step 4: Simplify right side
    162,281x = 62,295,667,281
  5. Step 5: Solve for x
    x = 62,295,667,281/162,281
  6. Step 6: Final answer
    x = 383,875.30

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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.