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Finding the Third Proportional to 166,875.19 and 265,320.56

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Solution

The third proportional to 166,875.19 and 265,320.56 is: 421,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,875.19 : 265,320.56 = 265,320.56 : x
  2. Step 2: Convert to fraction form
    166,875.19/265,320.56 = 265,320.56/x
  3. Step 3: Cross multiply
    166,875.19x = 265,320.56 × 265,320.56
  4. Step 4: Simplify right side
    166,875.19x = 70,395,000,885.32
  5. Step 5: Solve for x
    x = 70,395,000,885.32/166,875.19
  6. Step 6: Final answer
    x = 421,842.23

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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.