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Finding the Third Proportional to 152,987.06 and 252,831.38

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Solution

The third proportional to 152,987.06 and 252,831.38 is: 417,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,987.06 : 252,831.38 = 252,831.38 : x
  2. Step 2: Convert to fraction form
    152,987.06/252,831.38 = 252,831.38/x
  3. Step 3: Cross multiply
    152,987.06x = 252,831.38 × 252,831.38
  4. Step 4: Simplify right side
    152,987.06x = 63,923,704,184.39
  5. Step 5: Solve for x
    x = 63,923,704,184.39/152,987.06
  6. Step 6: Final answer
    x = 417,837.32

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.