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Finding the Third Proportional to 97,214 and 152,301

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Solution

The third proportional to 97,214 and 152,301 is: 238,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,214 : 152,301 = 152,301 : x
  2. Step 2: Convert to fraction form
    97,214/152,301 = 152,301/x
  3. Step 3: Cross multiply
    97,214x = 152,301 × 152,301
  4. Step 4: Simplify right side
    97,214x = 23,195,594,601
  5. Step 5: Solve for x
    x = 23,195,594,601/97,214
  6. Step 6: Final answer
    x = 238,603.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.