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Finding the Third Proportional to 170,024 and 372,368

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Solution

The third proportional to 170,024 and 372,368 is: 815,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,024 : 372,368 = 372,368 : x
  2. Step 2: Convert to fraction form
    170,024/372,368 = 372,368/x
  3. Step 3: Cross multiply
    170,024x = 372,368 × 372,368
  4. Step 4: Simplify right side
    170,024x = 138,657,927,424
  5. Step 5: Solve for x
    x = 138,657,927,424/170,024
  6. Step 6: Final answer
    x = 815,519.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.