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Finding the Third Proportional to 147,597.19 and 305,695.69

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Solution

The third proportional to 147,597.19 and 305,695.69 is: 633,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,597.19 : 305,695.69 = 305,695.69 : x
  2. Step 2: Convert to fraction form
    147,597.19/305,695.69 = 305,695.69/x
  3. Step 3: Cross multiply
    147,597.19x = 305,695.69 × 305,695.69
  4. Step 4: Simplify right side
    147,597.19x = 93,449,853,356.10
  5. Step 5: Solve for x
    x = 93,449,853,356.10/147,597.19
  6. Step 6: Final answer
    x = 633,141.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.