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Finding the Third Proportional to 148,360 and 307,088

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Solution

The third proportional to 148,360 and 307,088 is: 635,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,360 : 307,088 = 307,088 : x
  2. Step 2: Convert to fraction form
    148,360/307,088 = 307,088/x
  3. Step 3: Cross multiply
    148,360x = 307,088 × 307,088
  4. Step 4: Simplify right side
    148,360x = 94,303,039,744
  5. Step 5: Solve for x
    x = 94,303,039,744/148,360
  6. Step 6: Final answer
    x = 635,636.56

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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.