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Finding the Third Proportional to 175,461.19 and 262,022.34

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Solution

The third proportional to 175,461.19 and 262,022.34 is: 391,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,461.19 : 262,022.34 = 262,022.34 : x
  2. Step 2: Convert to fraction form
    175,461.19/262,022.34 = 262,022.34/x
  3. Step 3: Cross multiply
    175,461.19x = 262,022.34 × 262,022.34
  4. Step 4: Simplify right side
    175,461.19x = 68,655,708,624.24
  5. Step 5: Solve for x
    x = 68,655,708,624.24/175,461.19
  6. Step 6: Final answer
    x = 391,287.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.