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Finding the Third Proportional to 160,036.88 and 247,784.50

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Solution

The third proportional to 160,036.88 and 247,784.50 is: 383,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,036.88 : 247,784.50 = 247,784.50 : x
  2. Step 2: Convert to fraction form
    160,036.88/247,784.50 = 247,784.50/x
  3. Step 3: Cross multiply
    160,036.88x = 247,784.50 × 247,784.50
  4. Step 4: Simplify right side
    160,036.88x = 61,397,158,440.25
  5. Step 5: Solve for x
    x = 61,397,158,440.25/160,036.88
  6. Step 6: Final answer
    x = 383,643.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.