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Finding the Third Proportional to 157,709 and 380,057

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Solution

The third proportional to 157,709 and 380,057 is: 915,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,709 : 380,057 = 380,057 : x
  2. Step 2: Convert to fraction form
    157,709/380,057 = 380,057/x
  3. Step 3: Cross multiply
    157,709x = 380,057 × 380,057
  4. Step 4: Simplify right side
    157,709x = 144,443,323,249
  5. Step 5: Solve for x
    x = 144,443,323,249/157,709
  6. Step 6: Final answer
    x = 915,885.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.