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Finding the Third Proportional to 157,402 and 344,324

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Solution

The third proportional to 157,402 and 344,324 is: 753,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,402 : 344,324 = 344,324 : x
  2. Step 2: Convert to fraction form
    157,402/344,324 = 344,324/x
  3. Step 3: Cross multiply
    157,402x = 344,324 × 344,324
  4. Step 4: Simplify right side
    157,402x = 118,559,016,976
  5. Step 5: Solve for x
    x = 118,559,016,976/157,402
  6. Step 6: Final answer
    x = 753,224.34

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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.