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Finding the Third Proportional to 223,909.31 and 468,595.13

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Solution

The third proportional to 223,909.31 and 468,595.13 is: 980,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,909.31 : 468,595.13 = 468,595.13 : x
  2. Step 2: Convert to fraction form
    223,909.31/468,595.13 = 468,595.13/x
  3. Step 3: Cross multiply
    223,909.31x = 468,595.13 × 468,595.13
  4. Step 4: Simplify right side
    223,909.31x = 219,581,391,173.77
  5. Step 5: Solve for x
    x = 219,581,391,173.77/223,909.31
  6. Step 6: Final answer
    x = 980,671.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.