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Finding the Third Proportional to 155,577.25 and 240,275

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Solution

The third proportional to 155,577.25 and 240,275 is: 371,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,577.25 : 240,275 = 240,275 : x
  2. Step 2: Convert to fraction form
    155,577.25/240,275 = 240,275/x
  3. Step 3: Cross multiply
    155,577.25x = 240,275 × 240,275
  4. Step 4: Simplify right side
    155,577.25x = 57,732,075,625
  5. Step 5: Solve for x
    x = 57,732,075,625/155,577.25
  6. Step 6: Final answer
    x = 371,083.02

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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.