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Finding the Third Proportional to 310,347 and 404,169.75

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Solution

The third proportional to 310,347 and 404,169.75 is: 526,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,347 : 404,169.75 = 404,169.75 : x
  2. Step 2: Convert to fraction form
    310,347/404,169.75 = 404,169.75/x
  3. Step 3: Cross multiply
    310,347x = 404,169.75 × 404,169.75
  4. Step 4: Simplify right side
    310,347x = 163,353,186,815.06
  5. Step 5: Solve for x
    x = 163,353,186,815.06/310,347
  6. Step 6: Final answer
    x = 526,356.58

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.