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Finding the Third Proportional to 235,612.50 and 556,134

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Solution

The third proportional to 235,612.50 and 556,134 is: 1,312,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,612.50 : 556,134 = 556,134 : x
  2. Step 2: Convert to fraction form
    235,612.50/556,134 = 556,134/x
  3. Step 3: Cross multiply
    235,612.50x = 556,134 × 556,134
  4. Step 4: Simplify right side
    235,612.50x = 309,285,025,956
  5. Step 5: Solve for x
    x = 309,285,025,956/235,612.50
  6. Step 6: Final answer
    x = 1,312,685.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.