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Finding the Third Proportional to 109,368 and 233,902

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Solution

The third proportional to 109,368 and 233,902 is: 500,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,368 : 233,902 = 233,902 : x
  2. Step 2: Convert to fraction form
    109,368/233,902 = 233,902/x
  3. Step 3: Cross multiply
    109,368x = 233,902 × 233,902
  4. Step 4: Simplify right side
    109,368x = 54,710,145,604
  5. Step 5: Solve for x
    x = 54,710,145,604/109,368
  6. Step 6: Final answer
    x = 500,239.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.