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Finding the Third Proportional to 173,840 and 418,646

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Solution

The third proportional to 173,840 and 418,646 is: 1,008,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840 : 418,646 = 418,646 : x
  2. Step 2: Convert to fraction form
    173,840/418,646 = 418,646/x
  3. Step 3: Cross multiply
    173,840x = 418,646 × 418,646
  4. Step 4: Simplify right side
    173,840x = 175,264,473,316
  5. Step 5: Solve for x
    x = 175,264,473,316/173,840
  6. Step 6: Final answer
    x = 1,008,194.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.