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Finding the Third Proportional to 160,925.48 and 236,461.78

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Solution

The third proportional to 160,925.48 and 236,461.78 is: 347,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,925.48 : 236,461.78 = 236,461.78 : x
  2. Step 2: Convert to fraction form
    160,925.48/236,461.78 = 236,461.78/x
  3. Step 3: Cross multiply
    160,925.48x = 236,461.78 × 236,461.78
  4. Step 4: Simplify right side
    160,925.48x = 55,914,173,991.92
  5. Step 5: Solve for x
    x = 55,914,173,991.92/160,925.48
  6. Step 6: Final answer
    x = 347,453.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.