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Finding the Third Proportional to 172,104.75 and 286,831.13

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Solution

The third proportional to 172,104.75 and 286,831.13 is: 478,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,104.75 : 286,831.13 = 286,831.13 : x
  2. Step 2: Convert to fraction form
    172,104.75/286,831.13 = 286,831.13/x
  3. Step 3: Cross multiply
    172,104.75x = 286,831.13 × 286,831.13
  4. Step 4: Simplify right side
    172,104.75x = 82,272,094,268.77
  5. Step 5: Solve for x
    x = 82,272,094,268.77/172,104.75
  6. Step 6: Final answer
    x = 478,035.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.