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Finding the Third Proportional to 157,503.75 and 370,230.38

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Solution

The third proportional to 157,503.75 and 370,230.38 is: 870,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,503.75 : 370,230.38 = 370,230.38 : x
  2. Step 2: Convert to fraction form
    157,503.75/370,230.38 = 370,230.38/x
  3. Step 3: Cross multiply
    157,503.75x = 370,230.38 × 370,230.38
  4. Step 4: Simplify right side
    157,503.75x = 137,070,530,572.64
  5. Step 5: Solve for x
    x = 137,070,530,572.64/157,503.75
  6. Step 6: Final answer
    x = 870,268.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.