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Finding the Third Proportional to 153,700 and 235,214

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Solution

The third proportional to 153,700 and 235,214 is: 359,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,700 : 235,214 = 235,214 : x
  2. Step 2: Convert to fraction form
    153,700/235,214 = 235,214/x
  3. Step 3: Cross multiply
    153,700x = 235,214 × 235,214
  4. Step 4: Simplify right side
    153,700x = 55,325,625,796
  5. Step 5: Solve for x
    x = 55,325,625,796/153,700
  6. Step 6: Final answer
    x = 359,958.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.