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Finding the Third Proportional to 107,460 and 234,346.50

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Solution

The third proportional to 107,460 and 234,346.50 is: 511,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,460 : 234,346.50 = 234,346.50 : x
  2. Step 2: Convert to fraction form
    107,460/234,346.50 = 234,346.50/x
  3. Step 3: Cross multiply
    107,460x = 234,346.50 × 234,346.50
  4. Step 4: Simplify right side
    107,460x = 54,918,282,062.25
  5. Step 5: Solve for x
    x = 54,918,282,062.25/107,460
  6. Step 6: Final answer
    x = 511,057.90

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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.