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Finding the Third Proportional to 134,831.25 and 293,196.38

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Solution

The third proportional to 134,831.25 and 293,196.38 is: 637,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,831.25 : 293,196.38 = 293,196.38 : x
  2. Step 2: Convert to fraction form
    134,831.25/293,196.38 = 293,196.38/x
  3. Step 3: Cross multiply
    134,831.25x = 293,196.38 × 293,196.38
  4. Step 4: Simplify right side
    134,831.25x = 85,964,114,313.14
  5. Step 5: Solve for x
    x = 85,964,114,313.14/134,831.25
  6. Step 6: Final answer
    x = 637,568.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.