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Finding the Third Proportional to 175,565 and 372,046

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Solution

The third proportional to 175,565 and 372,046 is: 788,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,565 : 372,046 = 372,046 : x
  2. Step 2: Convert to fraction form
    175,565/372,046 = 372,046/x
  3. Step 3: Cross multiply
    175,565x = 372,046 × 372,046
  4. Step 4: Simplify right side
    175,565x = 138,418,226,116
  5. Step 5: Solve for x
    x = 138,418,226,116/175,565
  6. Step 6: Final answer
    x = 788,415.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.