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Finding the Third Proportional to 110,346.75 and 245,677.50

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Solution

The third proportional to 110,346.75 and 245,677.50 is: 546,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,346.75 : 245,677.50 = 245,677.50 : x
  2. Step 2: Convert to fraction form
    110,346.75/245,677.50 = 245,677.50/x
  3. Step 3: Cross multiply
    110,346.75x = 245,677.50 × 245,677.50
  4. Step 4: Simplify right side
    110,346.75x = 60,357,434,006.25
  5. Step 5: Solve for x
    x = 60,357,434,006.25/110,346.75
  6. Step 6: Final answer
    x = 546,979.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.