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Finding the Third Proportional to 209,445.75 and 452,098.50

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Solution

The third proportional to 209,445.75 and 452,098.50 is: 975,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,445.75 : 452,098.50 = 452,098.50 : x
  2. Step 2: Convert to fraction form
    209,445.75/452,098.50 = 452,098.50/x
  3. Step 3: Cross multiply
    209,445.75x = 452,098.50 × 452,098.50
  4. Step 4: Simplify right side
    209,445.75x = 204,393,053,702.25
  5. Step 5: Solve for x
    x = 204,393,053,702.25/209,445.75
  6. Step 6: Final answer
    x = 975,875.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.