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Finding the Third Proportional to 156,905.50 and 240,070.25

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Solution

The third proportional to 156,905.50 and 240,070.25 is: 367,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,905.50 : 240,070.25 = 240,070.25 : x
  2. Step 2: Convert to fraction form
    156,905.50/240,070.25 = 240,070.25/x
  3. Step 3: Cross multiply
    156,905.50x = 240,070.25 × 240,070.25
  4. Step 4: Simplify right side
    156,905.50x = 57,633,724,935.06
  5. Step 5: Solve for x
    x = 57,633,724,935.06/156,905.50
  6. Step 6: Final answer
    x = 367,314.88

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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.