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Finding the Third Proportional to 232,510 and 340,460

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Solution

The third proportional to 232,510 and 340,460 is: 498,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,510 : 340,460 = 340,460 : x
  2. Step 2: Convert to fraction form
    232,510/340,460 = 340,460/x
  3. Step 3: Cross multiply
    232,510x = 340,460 × 340,460
  4. Step 4: Simplify right side
    232,510x = 115,913,011,600
  5. Step 5: Solve for x
    x = 115,913,011,600/232,510
  6. Step 6: Final answer
    x = 498,529.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.