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Finding the Third Proportional to 233,154 and 349,733

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Solution

The third proportional to 233,154 and 349,733 is: 524,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,154 : 349,733 = 349,733 : x
  2. Step 2: Convert to fraction form
    233,154/349,733 = 349,733/x
  3. Step 3: Cross multiply
    233,154x = 349,733 × 349,733
  4. Step 4: Simplify right side
    233,154x = 122,313,171,289
  5. Step 5: Solve for x
    x = 122,313,171,289/233,154
  6. Step 6: Final answer
    x = 524,602.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.