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Finding the Third Proportional to 178,548 and 260,986.50

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Solution

The third proportional to 178,548 and 260,986.50 is: 381,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,548 : 260,986.50 = 260,986.50 : x
  2. Step 2: Convert to fraction form
    178,548/260,986.50 = 260,986.50/x
  3. Step 3: Cross multiply
    178,548x = 260,986.50 × 260,986.50
  4. Step 4: Simplify right side
    178,548x = 68,113,953,182.25
  5. Step 5: Solve for x
    x = 68,113,953,182.25/178,548
  6. Step 6: Final answer
    x = 381,488.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.