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Finding the Third Proportional to 292,113.50 and 462,159.50

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Solution

The third proportional to 292,113.50 and 462,159.50 is: 731,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,113.50 : 462,159.50 = 462,159.50 : x
  2. Step 2: Convert to fraction form
    292,113.50/462,159.50 = 462,159.50/x
  3. Step 3: Cross multiply
    292,113.50x = 462,159.50 × 462,159.50
  4. Step 4: Simplify right side
    292,113.50x = 213,591,403,440.25
  5. Step 5: Solve for x
    x = 213,591,403,440.25/292,113.50
  6. Step 6: Final answer
    x = 731,193.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.