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Finding the Third Proportional to 250,354 and 377,660

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Solution

The third proportional to 250,354 and 377,660 is: 569,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,354 : 377,660 = 377,660 : x
  2. Step 2: Convert to fraction form
    250,354/377,660 = 377,660/x
  3. Step 3: Cross multiply
    250,354x = 377,660 × 377,660
  4. Step 4: Simplify right side
    250,354x = 142,627,075,600
  5. Step 5: Solve for x
    x = 142,627,075,600/250,354
  6. Step 6: Final answer
    x = 569,701.60

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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.