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Finding the Third Proportional to 150,246 and 306,058.50

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Solution

The third proportional to 150,246 and 306,058.50 is: 623,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,246 : 306,058.50 = 306,058.50 : x
  2. Step 2: Convert to fraction form
    150,246/306,058.50 = 306,058.50/x
  3. Step 3: Cross multiply
    150,246x = 306,058.50 × 306,058.50
  4. Step 4: Simplify right side
    150,246x = 93,671,805,422.25
  5. Step 5: Solve for x
    x = 93,671,805,422.25/150,246
  6. Step 6: Final answer
    x = 623,456.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.