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Finding the Third Proportional to 107,190 and 233,428

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Solution

The third proportional to 107,190 and 233,428 is: 508,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,190 : 233,428 = 233,428 : x
  2. Step 2: Convert to fraction form
    107,190/233,428 = 233,428/x
  3. Step 3: Cross multiply
    107,190x = 233,428 × 233,428
  4. Step 4: Simplify right side
    107,190x = 54,488,631,184
  5. Step 5: Solve for x
    x = 54,488,631,184/107,190
  6. Step 6: Final answer
    x = 508,336.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.