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Finding the Third Proportional to 157,438 and 183,029

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Solution

The third proportional to 157,438 and 183,029 is: 212,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,438 : 183,029 = 183,029 : x
  2. Step 2: Convert to fraction form
    157,438/183,029 = 183,029/x
  3. Step 3: Cross multiply
    157,438x = 183,029 × 183,029
  4. Step 4: Simplify right side
    157,438x = 33,499,614,841
  5. Step 5: Solve for x
    x = 33,499,614,841/157,438
  6. Step 6: Final answer
    x = 212,779.73

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.