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Finding the Third Proportional to 232,831.13 and 359,559

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Solution

The third proportional to 232,831.13 and 359,559 is: 555,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,831.13 : 359,559 = 359,559 : x
  2. Step 2: Convert to fraction form
    232,831.13/359,559 = 359,559/x
  3. Step 3: Cross multiply
    232,831.13x = 359,559 × 359,559
  4. Step 4: Simplify right side
    232,831.13x = 129,282,674,481
  5. Step 5: Solve for x
    x = 129,282,674,481/232,831.13
  6. Step 6: Final answer
    x = 555,263.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.