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Finding the Third Proportional to 174,585 and 372,066

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Solution

The third proportional to 174,585 and 372,066 is: 792,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,585 : 372,066 = 372,066 : x
  2. Step 2: Convert to fraction form
    174,585/372,066 = 372,066/x
  3. Step 3: Cross multiply
    174,585x = 372,066 × 372,066
  4. Step 4: Simplify right side
    174,585x = 138,433,108,356
  5. Step 5: Solve for x
    x = 138,433,108,356/174,585
  6. Step 6: Final answer
    x = 792,926.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.