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Finding the Third Proportional to 170,442 and 371,646

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Solution

The third proportional to 170,442 and 371,646 is: 810,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,442 : 371,646 = 371,646 : x
  2. Step 2: Convert to fraction form
    170,442/371,646 = 371,646/x
  3. Step 3: Cross multiply
    170,442x = 371,646 × 371,646
  4. Step 4: Simplify right side
    170,442x = 138,120,749,316
  5. Step 5: Solve for x
    x = 138,120,749,316/170,442
  6. Step 6: Final answer
    x = 810,368.04

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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.