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Finding the Third Proportional to 157,543.73 and 236,430.14

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Solution

The third proportional to 157,543.73 and 236,430.14 is: 354,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,543.73 : 236,430.14 = 236,430.14 : x
  2. Step 2: Convert to fraction form
    157,543.73/236,430.14 = 236,430.14/x
  3. Step 3: Cross multiply
    157,543.73x = 236,430.14 × 236,430.14
  4. Step 4: Simplify right side
    157,543.73x = 55,899,211,395.96
  5. Step 5: Solve for x
    x = 55,899,211,395.96/157,543.73
  6. Step 6: Final answer
    x = 354,817.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.