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Finding the Third Proportional to 240,151 and 376,712

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Solution

The third proportional to 240,151 and 376,712 is: 590,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,151 : 376,712 = 376,712 : x
  2. Step 2: Convert to fraction form
    240,151/376,712 = 376,712/x
  3. Step 3: Cross multiply
    240,151x = 376,712 × 376,712
  4. Step 4: Simplify right side
    240,151x = 141,911,930,944
  5. Step 5: Solve for x
    x = 141,911,930,944/240,151
  6. Step 6: Final answer
    x = 590,927.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.