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Finding the Third Proportional to 163,830 and 247,250.25

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Solution

The third proportional to 163,830 and 247,250.25 is: 373,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,830 : 247,250.25 = 247,250.25 : x
  2. Step 2: Convert to fraction form
    163,830/247,250.25 = 247,250.25/x
  3. Step 3: Cross multiply
    163,830x = 247,250.25 × 247,250.25
  4. Step 4: Simplify right side
    163,830x = 61,132,686,125.06
  5. Step 5: Solve for x
    x = 61,132,686,125.06/163,830
  6. Step 6: Final answer
    x = 373,147.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.