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Finding the Third Proportional to 173,338 and 372,547

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Solution

The third proportional to 173,338 and 372,547 is: 800,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,338 : 372,547 = 372,547 : x
  2. Step 2: Convert to fraction form
    173,338/372,547 = 372,547/x
  3. Step 3: Cross multiply
    173,338x = 372,547 × 372,547
  4. Step 4: Simplify right side
    173,338x = 138,791,267,209
  5. Step 5: Solve for x
    x = 138,791,267,209/173,338
  6. Step 6: Final answer
    x = 800,697.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.