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Finding the Third Proportional to 107,360 and 233,152

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Solution

The third proportional to 107,360 and 233,152 is: 506,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,360 : 233,152 = 233,152 : x
  2. Step 2: Convert to fraction form
    107,360/233,152 = 233,152/x
  3. Step 3: Cross multiply
    107,360x = 233,152 × 233,152
  4. Step 4: Simplify right side
    107,360x = 54,359,855,104
  5. Step 5: Solve for x
    x = 54,359,855,104/107,360
  6. Step 6: Final answer
    x = 506,332.48

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Why These Related Problems?

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