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Finding the Third Proportional to 229,873 and 356,767.50

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Solution

The third proportional to 229,873 and 356,767.50 is: 553,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,873 : 356,767.50 = 356,767.50 : x
  2. Step 2: Convert to fraction form
    229,873/356,767.50 = 356,767.50/x
  3. Step 3: Cross multiply
    229,873x = 356,767.50 × 356,767.50
  4. Step 4: Simplify right side
    229,873x = 127,283,049,056.25
  5. Step 5: Solve for x
    x = 127,283,049,056.25/229,873
  6. Step 6: Final answer
    x = 553,710.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.