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Finding the Third Proportional to 157,123 and 339,146

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Solution

The third proportional to 157,123 and 339,146 is: 732,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,123 : 339,146 = 339,146 : x
  2. Step 2: Convert to fraction form
    157,123/339,146 = 339,146/x
  3. Step 3: Cross multiply
    157,123x = 339,146 × 339,146
  4. Step 4: Simplify right side
    157,123x = 115,020,009,316
  5. Step 5: Solve for x
    x = 115,020,009,316/157,123
  6. Step 6: Final answer
    x = 732,038.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.