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Finding the Third Proportional to 159,957.28 and 370,307.53

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Solution

The third proportional to 159,957.28 and 370,307.53 is: 857,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,957.28 : 370,307.53 = 370,307.53 : x
  2. Step 2: Convert to fraction form
    159,957.28/370,307.53 = 370,307.53/x
  3. Step 3: Cross multiply
    159,957.28x = 370,307.53 × 370,307.53
  4. Step 4: Simplify right side
    159,957.28x = 137,127,667,700.47
  5. Step 5: Solve for x
    x = 137,127,667,700.47/159,957.28
  6. Step 6: Final answer
    x = 857,276.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.