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Finding the Third Proportional to 136,580 and 295,624

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Solution

The third proportional to 136,580 and 295,624 is: 639,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,580 : 295,624 = 295,624 : x
  2. Step 2: Convert to fraction form
    136,580/295,624 = 295,624/x
  3. Step 3: Cross multiply
    136,580x = 295,624 × 295,624
  4. Step 4: Simplify right side
    136,580x = 87,393,549,376
  5. Step 5: Solve for x
    x = 87,393,549,376/136,580
  6. Step 6: Final answer
    x = 639,870.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.