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Finding the Third Proportional to 154,300.50 and 240,472.50

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Solution

The third proportional to 154,300.50 and 240,472.50 is: 374,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,300.50 : 240,472.50 = 240,472.50 : x
  2. Step 2: Convert to fraction form
    154,300.50/240,472.50 = 240,472.50/x
  3. Step 3: Cross multiply
    154,300.50x = 240,472.50 × 240,472.50
  4. Step 4: Simplify right side
    154,300.50x = 57,827,023,256.25
  5. Step 5: Solve for x
    x = 57,827,023,256.25/154,300.50
  6. Step 6: Final answer
    x = 374,768.87

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.