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Finding the Third Proportional to 107,340 and 233,130

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Solution

The third proportional to 107,340 and 233,130 is: 506,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,340 : 233,130 = 233,130 : x
  2. Step 2: Convert to fraction form
    107,340/233,130 = 233,130/x
  3. Step 3: Cross multiply
    107,340x = 233,130 × 233,130
  4. Step 4: Simplify right side
    107,340x = 54,349,596,900
  5. Step 5: Solve for x
    x = 54,349,596,900/107,340
  6. Step 6: Final answer
    x = 506,331.25

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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.