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Finding the Third Proportional to 148,155 and 324,417

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Solution

The third proportional to 148,155 and 324,417 is: 710,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,155 : 324,417 = 324,417 : x
  2. Step 2: Convert to fraction form
    148,155/324,417 = 324,417/x
  3. Step 3: Cross multiply
    148,155x = 324,417 × 324,417
  4. Step 4: Simplify right side
    148,155x = 105,246,389,889
  5. Step 5: Solve for x
    x = 105,246,389,889/148,155
  6. Step 6: Final answer
    x = 710,380.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.