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Finding the Third Proportional to 161,597 and 217,381.50

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Solution

The third proportional to 161,597 and 217,381.50 is: 292,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,597 : 217,381.50 = 217,381.50 : x
  2. Step 2: Convert to fraction form
    161,597/217,381.50 = 217,381.50/x
  3. Step 3: Cross multiply
    161,597x = 217,381.50 × 217,381.50
  4. Step 4: Simplify right side
    161,597x = 47,254,716,542.25
  5. Step 5: Solve for x
    x = 47,254,716,542.25/161,597
  6. Step 6: Final answer
    x = 292,423.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.