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Finding the Third Proportional to 150,709 and 233,148

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Solution

The third proportional to 150,709 and 233,148 is: 360,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,709 : 233,148 = 233,148 : x
  2. Step 2: Convert to fraction form
    150,709/233,148 = 233,148/x
  3. Step 3: Cross multiply
    150,709x = 233,148 × 233,148
  4. Step 4: Simplify right side
    150,709x = 54,357,989,904
  5. Step 5: Solve for x
    x = 54,357,989,904/150,709
  6. Step 6: Final answer
    x = 360,681.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.