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Finding the Third Proportional to 170,472 and 252,409

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Solution

The third proportional to 170,472 and 252,409 is: 373,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,472 : 252,409 = 252,409 : x
  2. Step 2: Convert to fraction form
    170,472/252,409 = 252,409/x
  3. Step 3: Cross multiply
    170,472x = 252,409 × 252,409
  4. Step 4: Simplify right side
    170,472x = 63,710,303,281
  5. Step 5: Solve for x
    x = 63,710,303,281/170,472
  6. Step 6: Final answer
    x = 373,728.84

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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.