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Finding the Third Proportional to 157,114.69 and 341,551.69

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Solution

The third proportional to 157,114.69 and 341,551.69 is: 742,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,114.69 : 341,551.69 = 341,551.69 : x
  2. Step 2: Convert to fraction form
    157,114.69/341,551.69 = 341,551.69/x
  3. Step 3: Cross multiply
    157,114.69x = 341,551.69 × 341,551.69
  4. Step 4: Simplify right side
    157,114.69x = 116,657,555,234.10
  5. Step 5: Solve for x
    x = 116,657,555,234.10/157,114.69
  6. Step 6: Final answer
    x = 742,499.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.