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Finding the Third Proportional to 107,780 and 232,768

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Solution

The third proportional to 107,780 and 232,768 is: 502,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,780 : 232,768 = 232,768 : x
  2. Step 2: Convert to fraction form
    107,780/232,768 = 232,768/x
  3. Step 3: Cross multiply
    107,780x = 232,768 × 232,768
  4. Step 4: Simplify right side
    107,780x = 54,180,941,824
  5. Step 5: Solve for x
    x = 54,180,941,824/107,780
  6. Step 6: Final answer
    x = 502,699.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.