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Finding the Third Proportional to 148,488.19 and 163,660.50

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Solution

The third proportional to 148,488.19 and 163,660.50 is: 180,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,488.19 : 163,660.50 = 163,660.50 : x
  2. Step 2: Convert to fraction form
    148,488.19/163,660.50 = 163,660.50/x
  3. Step 3: Cross multiply
    148,488.19x = 163,660.50 × 163,660.50
  4. Step 4: Simplify right side
    148,488.19x = 26,784,759,260.25
  5. Step 5: Solve for x
    x = 26,784,759,260.25/148,488.19
  6. Step 6: Final answer
    x = 180,383.10

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.