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Finding the Third Proportional to 134,896 and 295,490

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Solution

The third proportional to 134,896 and 295,490 is: 647,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,896 : 295,490 = 295,490 : x
  2. Step 2: Convert to fraction form
    134,896/295,490 = 295,490/x
  3. Step 3: Cross multiply
    134,896x = 295,490 × 295,490
  4. Step 4: Simplify right side
    134,896x = 87,314,340,100
  5. Step 5: Solve for x
    x = 87,314,340,100/134,896
  6. Step 6: Final answer
    x = 647,271.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.