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Finding the Third Proportional to 232,506 and 359,946

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Solution

The third proportional to 232,506 and 359,946 is: 557,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,506 : 359,946 = 359,946 : x
  2. Step 2: Convert to fraction form
    232,506/359,946 = 359,946/x
  3. Step 3: Cross multiply
    232,506x = 359,946 × 359,946
  4. Step 4: Simplify right side
    232,506x = 129,561,122,916
  5. Step 5: Solve for x
    x = 129,561,122,916/232,506
  6. Step 6: Final answer
    x = 557,237.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.