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Finding the Third Proportional to 154,307.50 and 240,483

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Solution

The third proportional to 154,307.50 and 240,483 is: 374,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,307.50 : 240,483 = 240,483 : x
  2. Step 2: Convert to fraction form
    154,307.50/240,483 = 240,483/x
  3. Step 3: Cross multiply
    154,307.50x = 240,483 × 240,483
  4. Step 4: Simplify right side
    154,307.50x = 57,832,073,289
  5. Step 5: Solve for x
    x = 57,832,073,289/154,307.50
  6. Step 6: Final answer
    x = 374,784.59

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Why These Related Problems?

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