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Finding the Third Proportional to 157,782.75 and 342,316.13

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Solution

The third proportional to 157,782.75 and 342,316.13 is: 742,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,782.75 : 342,316.13 = 342,316.13 : x
  2. Step 2: Convert to fraction form
    157,782.75/342,316.13 = 342,316.13/x
  3. Step 3: Cross multiply
    157,782.75x = 342,316.13 × 342,316.13
  4. Step 4: Simplify right side
    157,782.75x = 117,180,329,435.02
  5. Step 5: Solve for x
    x = 117,180,329,435.02/157,782.75
  6. Step 6: Final answer
    x = 742,668.82

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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.