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Finding the Third Proportional to 153,701 and 235,215.50

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Solution

The third proportional to 153,701 and 235,215.50 is: 359,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,701 : 235,215.50 = 235,215.50 : x
  2. Step 2: Convert to fraction form
    153,701/235,215.50 = 235,215.50/x
  3. Step 3: Cross multiply
    153,701x = 235,215.50 × 235,215.50
  4. Step 4: Simplify right side
    153,701x = 55,326,331,440.25
  5. Step 5: Solve for x
    x = 55,326,331,440.25/153,701
  6. Step 6: Final answer
    x = 359,960.78

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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.