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Finding the Third Proportional to 157,038 and 343,982.25

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Solution

The third proportional to 157,038 and 343,982.25 is: 753,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,038 : 343,982.25 = 343,982.25 : x
  2. Step 2: Convert to fraction form
    157,038/343,982.25 = 343,982.25/x
  3. Step 3: Cross multiply
    157,038x = 343,982.25 × 343,982.25
  4. Step 4: Simplify right side
    157,038x = 118,323,788,315.06
  5. Step 5: Solve for x
    x = 118,323,788,315.06/157,038
  6. Step 6: Final answer
    x = 753,472.33

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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.