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Finding the Third Proportional to 174,934.50 and 365,403

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Solution

The third proportional to 174,934.50 and 365,403 is: 763,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,934.50 : 365,403 = 365,403 : x
  2. Step 2: Convert to fraction form
    174,934.50/365,403 = 365,403/x
  3. Step 3: Cross multiply
    174,934.50x = 365,403 × 365,403
  4. Step 4: Simplify right side
    174,934.50x = 133,519,352,409
  5. Step 5: Solve for x
    x = 133,519,352,409/174,934.50
  6. Step 6: Final answer
    x = 763,253.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.