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Finding the Third Proportional to 210,263 and 314,523

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Solution

The third proportional to 210,263 and 314,523 is: 470,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,263 : 314,523 = 314,523 : x
  2. Step 2: Convert to fraction form
    210,263/314,523 = 314,523/x
  3. Step 3: Cross multiply
    210,263x = 314,523 × 314,523
  4. Step 4: Simplify right side
    210,263x = 98,924,717,529
  5. Step 5: Solve for x
    x = 98,924,717,529/210,263
  6. Step 6: Final answer
    x = 470,480.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.