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Finding the Third Proportional to 176,580 and 375,921

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Solution

The third proportional to 176,580 and 375,921 is: 800,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,580 : 375,921 = 375,921 : x
  2. Step 2: Convert to fraction form
    176,580/375,921 = 375,921/x
  3. Step 3: Cross multiply
    176,580x = 375,921 × 375,921
  4. Step 4: Simplify right side
    176,580x = 141,316,598,241
  5. Step 5: Solve for x
    x = 141,316,598,241/176,580
  6. Step 6: Final answer
    x = 800,297.87

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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.