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Finding the Third Proportional to 97,294 and 213,040

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Solution

The third proportional to 97,294 and 213,040 is: 466,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,294 : 213,040 = 213,040 : x
  2. Step 2: Convert to fraction form
    97,294/213,040 = 213,040/x
  3. Step 3: Cross multiply
    97,294x = 213,040 × 213,040
  4. Step 4: Simplify right side
    97,294x = 45,386,041,600
  5. Step 5: Solve for x
    x = 45,386,041,600/97,294
  6. Step 6: Final answer
    x = 466,483.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.