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Finding the Third Proportional to 154,278 and 233,061

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Solution

The third proportional to 154,278 and 233,061 is: 352,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,278 : 233,061 = 233,061 : x
  2. Step 2: Convert to fraction form
    154,278/233,061 = 233,061/x
  3. Step 3: Cross multiply
    154,278x = 233,061 × 233,061
  4. Step 4: Simplify right side
    154,278x = 54,317,429,721
  5. Step 5: Solve for x
    x = 54,317,429,721/154,278
  6. Step 6: Final answer
    x = 352,075.02

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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.