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Finding the Third Proportional to 158,595.75 and 357,114.38

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Solution

The third proportional to 158,595.75 and 357,114.38 is: 804,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,595.75 : 357,114.38 = 357,114.38 : x
  2. Step 2: Convert to fraction form
    158,595.75/357,114.38 = 357,114.38/x
  3. Step 3: Cross multiply
    158,595.75x = 357,114.38 × 357,114.38
  4. Step 4: Simplify right side
    158,595.75x = 127,530,676,831.64
  5. Step 5: Solve for x
    x = 127,530,676,831.64/158,595.75
  6. Step 6: Final answer
    x = 804,124.18

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.