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Finding the Third Proportional to 234,191.25 and 456,718.50

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Solution

The third proportional to 234,191.25 and 456,718.50 is: 890,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,191.25 : 456,718.50 = 456,718.50 : x
  2. Step 2: Convert to fraction form
    234,191.25/456,718.50 = 456,718.50/x
  3. Step 3: Cross multiply
    234,191.25x = 456,718.50 × 456,718.50
  4. Step 4: Simplify right side
    234,191.25x = 208,591,788,242.25
  5. Step 5: Solve for x
    x = 208,591,788,242.25/234,191.25
  6. Step 6: Final answer
    x = 890,689.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.