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Finding the Third Proportional to 137,454 and 212,831.25

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Solution

The third proportional to 137,454 and 212,831.25 is: 329,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,454 : 212,831.25 = 212,831.25 : x
  2. Step 2: Convert to fraction form
    137,454/212,831.25 = 212,831.25/x
  3. Step 3: Cross multiply
    137,454x = 212,831.25 × 212,831.25
  4. Step 4: Simplify right side
    137,454x = 45,297,140,976.56
  5. Step 5: Solve for x
    x = 45,297,140,976.56/137,454
  6. Step 6: Final answer
    x = 329,544.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.