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Finding the Third Proportional to 225,420.47 and 359,453.95

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Solution

The third proportional to 225,420.47 and 359,453.95 is: 573,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,420.47 : 359,453.95 = 359,453.95 : x
  2. Step 2: Convert to fraction form
    225,420.47/359,453.95 = 359,453.95/x
  3. Step 3: Cross multiply
    225,420.47x = 359,453.95 × 359,453.95
  4. Step 4: Simplify right side
    225,420.47x = 129,207,144,417.19
  5. Step 5: Solve for x
    x = 129,207,144,417.19/225,420.47
  6. Step 6: Final answer
    x = 573,182.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.