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Finding the Third Proportional to 107,358 and 233,751

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Solution

The third proportional to 107,358 and 233,751 is: 508,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,358 : 233,751 = 233,751 : x
  2. Step 2: Convert to fraction form
    107,358/233,751 = 233,751/x
  3. Step 3: Cross multiply
    107,358x = 233,751 × 233,751
  4. Step 4: Simplify right side
    107,358x = 54,639,530,001
  5. Step 5: Solve for x
    x = 54,639,530,001/107,358
  6. Step 6: Final answer
    x = 508,946.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.