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Finding the Third Proportional to 157,796 and 345,076

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Solution

The third proportional to 157,796 and 345,076 is: 754,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,796 : 345,076 = 345,076 : x
  2. Step 2: Convert to fraction form
    157,796/345,076 = 345,076/x
  3. Step 3: Cross multiply
    157,796x = 345,076 × 345,076
  4. Step 4: Simplify right side
    157,796x = 119,077,445,776
  5. Step 5: Solve for x
    x = 119,077,445,776/157,796
  6. Step 6: Final answer
    x = 754,629.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.