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Finding the Third Proportional to 155,454 and 332,236.50

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Solution

The third proportional to 155,454 and 332,236.50 is: 710,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,454 : 332,236.50 = 332,236.50 : x
  2. Step 2: Convert to fraction form
    155,454/332,236.50 = 332,236.50/x
  3. Step 3: Cross multiply
    155,454x = 332,236.50 × 332,236.50
  4. Step 4: Simplify right side
    155,454x = 110,381,091,932.25
  5. Step 5: Solve for x
    x = 110,381,091,932.25/155,454
  6. Step 6: Final answer
    x = 710,056.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.