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Finding the Third Proportional to 148,366.69 and 307,248.19

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Solution

The third proportional to 148,366.69 and 307,248.19 is: 636,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,366.69 : 307,248.19 = 307,248.19 : x
  2. Step 2: Convert to fraction form
    148,366.69/307,248.19 = 307,248.19/x
  3. Step 3: Cross multiply
    148,366.69x = 307,248.19 × 307,248.19
  4. Step 4: Simplify right side
    148,366.69x = 94,401,448,722.04
  5. Step 5: Solve for x
    x = 94,401,448,722.04/148,366.69
  6. Step 6: Final answer
    x = 636,271.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.