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Finding the Third Proportional to 156,924 and 201,486

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Solution

The third proportional to 156,924 and 201,486 is: 258,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,924 : 201,486 = 201,486 : x
  2. Step 2: Convert to fraction form
    156,924/201,486 = 201,486/x
  3. Step 3: Cross multiply
    156,924x = 201,486 × 201,486
  4. Step 4: Simplify right side
    156,924x = 40,596,608,196
  5. Step 5: Solve for x
    x = 40,596,608,196/156,924
  6. Step 6: Final answer
    x = 258,702.35

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.