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Finding the Third Proportional to 170,420 and 358,463

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Solution

The third proportional to 170,420 and 358,463 is: 753,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,420 : 358,463 = 358,463 : x
  2. Step 2: Convert to fraction form
    170,420/358,463 = 358,463/x
  3. Step 3: Cross multiply
    170,420x = 358,463 × 358,463
  4. Step 4: Simplify right side
    170,420x = 128,495,722,369
  5. Step 5: Solve for x
    x = 128,495,722,369/170,420
  6. Step 6: Final answer
    x = 753,994.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.