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Finding the Third Proportional to 170,484.75 and 252,423

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Solution

The third proportional to 170,484.75 and 252,423 is: 373,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,484.75 : 252,423 = 252,423 : x
  2. Step 2: Convert to fraction form
    170,484.75/252,423 = 252,423/x
  3. Step 3: Cross multiply
    170,484.75x = 252,423 × 252,423
  4. Step 4: Simplify right side
    170,484.75x = 63,717,370,929
  5. Step 5: Solve for x
    x = 63,717,370,929/170,484.75
  6. Step 6: Final answer
    x = 373,742.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.