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Finding the Third Proportional to 152,026 and 233,871

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Solution

The third proportional to 152,026 and 233,871 is: 359,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,026 : 233,871 = 233,871 : x
  2. Step 2: Convert to fraction form
    152,026/233,871 = 233,871/x
  3. Step 3: Cross multiply
    152,026x = 233,871 × 233,871
  4. Step 4: Simplify right side
    152,026x = 54,695,644,641
  5. Step 5: Solve for x
    x = 54,695,644,641/152,026
  6. Step 6: Final answer
    x = 359,778.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.