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Finding the Third Proportional to 134,865 and 290,764.50

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Solution

The third proportional to 134,865 and 290,764.50 is: 626,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,865 : 290,764.50 = 290,764.50 : x
  2. Step 2: Convert to fraction form
    134,865/290,764.50 = 290,764.50/x
  3. Step 3: Cross multiply
    134,865x = 290,764.50 × 290,764.50
  4. Step 4: Simplify right side
    134,865x = 84,543,994,460.25
  5. Step 5: Solve for x
    x = 84,543,994,460.25/134,865
  6. Step 6: Final answer
    x = 626,878.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.