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Finding the Third Proportional to 147,782.25 and 234,043.88

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Solution

The third proportional to 147,782.25 and 234,043.88 is: 370,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,782.25 : 234,043.88 = 234,043.88 : x
  2. Step 2: Convert to fraction form
    147,782.25/234,043.88 = 234,043.88/x
  3. Step 3: Cross multiply
    147,782.25x = 234,043.88 × 234,043.88
  4. Step 4: Simplify right side
    147,782.25x = 54,776,535,425.02
  5. Step 5: Solve for x
    x = 54,776,535,425.02/147,782.25
  6. Step 6: Final answer
    x = 370,657.07

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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.