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Finding the Third Proportional to 157,182 and 342,222

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Solution

The third proportional to 157,182 and 342,222 is: 745,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,182 : 342,222 = 342,222 : x
  2. Step 2: Convert to fraction form
    157,182/342,222 = 342,222/x
  3. Step 3: Cross multiply
    157,182x = 342,222 × 342,222
  4. Step 4: Simplify right side
    157,182x = 117,115,897,284
  5. Step 5: Solve for x
    x = 117,115,897,284/157,182
  6. Step 6: Final answer
    x = 745,097.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.