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Finding the Third Proportional to 153,353.25 and 314,355.94

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Solution

The third proportional to 153,353.25 and 314,355.94 is: 644,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,353.25 : 314,355.94 = 314,355.94 : x
  2. Step 2: Convert to fraction form
    153,353.25/314,355.94 = 314,355.94/x
  3. Step 3: Cross multiply
    153,353.25x = 314,355.94 × 314,355.94
  4. Step 4: Simplify right side
    153,353.25x = 98,819,655,441.50
  5. Step 5: Solve for x
    x = 98,819,655,441.50/153,353.25
  6. Step 6: Final answer
    x = 644,392.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.