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Finding the Third Proportional to 109,466 and 235,819

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Solution

The third proportional to 109,466 and 235,819 is: 508,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,466 : 235,819 = 235,819 : x
  2. Step 2: Convert to fraction form
    109,466/235,819 = 235,819/x
  3. Step 3: Cross multiply
    109,466x = 235,819 × 235,819
  4. Step 4: Simplify right side
    109,466x = 55,610,600,761
  5. Step 5: Solve for x
    x = 55,610,600,761/109,466
  6. Step 6: Final answer
    x = 508,017.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.