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Finding the Third Proportional to 173,580 and 380,448

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Solution

The third proportional to 173,580 and 380,448 is: 833,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,580 : 380,448 = 380,448 : x
  2. Step 2: Convert to fraction form
    173,580/380,448 = 380,448/x
  3. Step 3: Cross multiply
    173,580x = 380,448 × 380,448
  4. Step 4: Simplify right side
    173,580x = 144,740,680,704
  5. Step 5: Solve for x
    x = 144,740,680,704/173,580
  6. Step 6: Final answer
    x = 833,855.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.