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Finding the Third Proportional to 232,508 and 359,130

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Solution

The third proportional to 232,508 and 359,130 is: 554,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,508 : 359,130 = 359,130 : x
  2. Step 2: Convert to fraction form
    232,508/359,130 = 359,130/x
  3. Step 3: Cross multiply
    232,508x = 359,130 × 359,130
  4. Step 4: Simplify right side
    232,508x = 128,974,356,900
  5. Step 5: Solve for x
    x = 128,974,356,900/232,508
  6. Step 6: Final answer
    x = 554,709.33

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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.