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Finding the Third Proportional to 174,829.13 and 265,465.88

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Solution

The third proportional to 174,829.13 and 265,465.88 is: 403,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,829.13 : 265,465.88 = 265,465.88 : x
  2. Step 2: Convert to fraction form
    174,829.13/265,465.88 = 265,465.88/x
  3. Step 3: Cross multiply
    174,829.13x = 265,465.88 × 265,465.88
  4. Step 4: Simplify right side
    174,829.13x = 70,472,130,789.52
  5. Step 5: Solve for x
    x = 70,472,130,789.52/174,829.13
  6. Step 6: Final answer
    x = 403,091.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.