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Finding the Third Proportional to 178,407.56 and 260,913.66

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Solution

The third proportional to 178,407.56 and 260,913.66 is: 381,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,407.56 : 260,913.66 = 260,913.66 : x
  2. Step 2: Convert to fraction form
    178,407.56/260,913.66 = 260,913.66/x
  3. Step 3: Cross multiply
    178,407.56x = 260,913.66 × 260,913.66
  4. Step 4: Simplify right side
    178,407.56x = 68,075,936,017.74
  5. Step 5: Solve for x
    x = 68,075,936,017.74/178,407.56
  6. Step 6: Final answer
    x = 381,575.39

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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.