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Finding the Third Proportional to 163,749 and 260,386

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Solution

The third proportional to 163,749 and 260,386 is: 414,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,749 : 260,386 = 260,386 : x
  2. Step 2: Convert to fraction form
    163,749/260,386 = 260,386/x
  3. Step 3: Cross multiply
    163,749x = 260,386 × 260,386
  4. Step 4: Simplify right side
    163,749x = 67,800,868,996
  5. Step 5: Solve for x
    x = 67,800,868,996/163,749
  6. Step 6: Final answer
    x = 414,053.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.