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Finding the Third Proportional to 160,498.13 and 248,386.50

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Solution

The third proportional to 160,498.13 and 248,386.50 is: 384,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,498.13 : 248,386.50 = 248,386.50 : x
  2. Step 2: Convert to fraction form
    160,498.13/248,386.50 = 248,386.50/x
  3. Step 3: Cross multiply
    160,498.13x = 248,386.50 × 248,386.50
  4. Step 4: Simplify right side
    160,498.13x = 61,695,853,382.25
  5. Step 5: Solve for x
    x = 61,695,853,382.25/160,498.13
  6. Step 6: Final answer
    x = 384,402.33

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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.