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Finding the Third Proportional to 172,597 and 376,572

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Solution

The third proportional to 172,597 and 376,572 is: 821,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,597 : 376,572 = 376,572 : x
  2. Step 2: Convert to fraction form
    172,597/376,572 = 376,572/x
  3. Step 3: Cross multiply
    172,597x = 376,572 × 376,572
  4. Step 4: Simplify right side
    172,597x = 141,806,471,184
  5. Step 5: Solve for x
    x = 141,806,471,184/172,597
  6. Step 6: Final answer
    x = 821,604.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.