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Finding the Third Proportional to 156,274 and 240,897

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Solution

The third proportional to 156,274 and 240,897 is: 371,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,274 : 240,897 = 240,897 : x
  2. Step 2: Convert to fraction form
    156,274/240,897 = 240,897/x
  3. Step 3: Cross multiply
    156,274x = 240,897 × 240,897
  4. Step 4: Simplify right side
    156,274x = 58,031,364,609
  5. Step 5: Solve for x
    x = 58,031,364,609/156,274
  6. Step 6: Final answer
    x = 371,343.70

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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.