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Finding the Third Proportional to 146,310 and 314,443.50

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Solution

The third proportional to 146,310 and 314,443.50 is: 675,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,310 : 314,443.50 = 314,443.50 : x
  2. Step 2: Convert to fraction form
    146,310/314,443.50 = 314,443.50/x
  3. Step 3: Cross multiply
    146,310x = 314,443.50 × 314,443.50
  4. Step 4: Simplify right side
    146,310x = 98,874,714,692.25
  5. Step 5: Solve for x
    x = 98,874,714,692.25/146,310
  6. Step 6: Final answer
    x = 675,789.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.