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Finding the Third Proportional to 97,290 and 209,754

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Solution

The third proportional to 97,290 and 209,754 is: 452,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,290 : 209,754 = 209,754 : x
  2. Step 2: Convert to fraction form
    97,290/209,754 = 209,754/x
  3. Step 3: Cross multiply
    97,290x = 209,754 × 209,754
  4. Step 4: Simplify right side
    97,290x = 43,996,740,516
  5. Step 5: Solve for x
    x = 43,996,740,516/97,290
  6. Step 6: Final answer
    x = 452,222.64

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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.