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Finding the Third Proportional to 153,820 and 232,779

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Solution

The third proportional to 153,820 and 232,779 is: 352,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,820 : 232,779 = 232,779 : x
  2. Step 2: Convert to fraction form
    153,820/232,779 = 232,779/x
  3. Step 3: Cross multiply
    153,820x = 232,779 × 232,779
  4. Step 4: Simplify right side
    153,820x = 54,186,062,841
  5. Step 5: Solve for x
    x = 54,186,062,841/153,820
  6. Step 6: Final answer
    x = 352,269.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.