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Finding the Third Proportional to 155,307.38 and 245,475.56

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Solution

The third proportional to 155,307.38 and 245,475.56 is: 387,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,307.38 : 245,475.56 = 245,475.56 : x
  2. Step 2: Convert to fraction form
    155,307.38/245,475.56 = 245,475.56/x
  3. Step 3: Cross multiply
    155,307.38x = 245,475.56 × 245,475.56
  4. Step 4: Simplify right side
    155,307.38x = 60,258,251,784.69
  5. Step 5: Solve for x
    x = 60,258,251,784.69/155,307.38
  6. Step 6: Final answer
    x = 387,993.50

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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.