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Finding the Third Proportional to 109,031 and 238,798

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Solution

The third proportional to 109,031 and 238,798 is: 523,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,031 : 238,798 = 238,798 : x
  2. Step 2: Convert to fraction form
    109,031/238,798 = 238,798/x
  3. Step 3: Cross multiply
    109,031x = 238,798 × 238,798
  4. Step 4: Simplify right side
    109,031x = 57,024,484,804
  5. Step 5: Solve for x
    x = 57,024,484,804/109,031
  6. Step 6: Final answer
    x = 523,011.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.