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Finding the Third Proportional to 238,320 and 349,461

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Solution

The third proportional to 238,320 and 349,461 is: 512,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,320 : 349,461 = 349,461 : x
  2. Step 2: Convert to fraction form
    238,320/349,461 = 349,461/x
  3. Step 3: Cross multiply
    238,320x = 349,461 × 349,461
  4. Step 4: Simplify right side
    238,320x = 122,122,990,521
  5. Step 5: Solve for x
    x = 122,122,990,521/238,320
  6. Step 6: Final answer
    x = 512,432.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.