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Finding the Third Proportional to 113,592 and 234,468

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Solution

The third proportional to 113,592 and 234,468 is: 483,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,592 : 234,468 = 234,468 : x
  2. Step 2: Convert to fraction form
    113,592/234,468 = 234,468/x
  3. Step 3: Cross multiply
    113,592x = 234,468 × 234,468
  4. Step 4: Simplify right side
    113,592x = 54,975,243,024
  5. Step 5: Solve for x
    x = 54,975,243,024/113,592
  6. Step 6: Final answer
    x = 483,971.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.