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Finding the Third Proportional to 97,358.50 and 210,287

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Solution

The third proportional to 97,358.50 and 210,287 is: 454,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,358.50 : 210,287 = 210,287 : x
  2. Step 2: Convert to fraction form
    97,358.50/210,287 = 210,287/x
  3. Step 3: Cross multiply
    97,358.50x = 210,287 × 210,287
  4. Step 4: Simplify right side
    97,358.50x = 44,220,622,369
  5. Step 5: Solve for x
    x = 44,220,622,369/97,358.50
  6. Step 6: Final answer
    x = 454,204.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.