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Finding the Third Proportional to 157,584 and 234,072

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Solution

The third proportional to 157,584 and 234,072 is: 347,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,584 : 234,072 = 234,072 : x
  2. Step 2: Convert to fraction form
    157,584/234,072 = 234,072/x
  3. Step 3: Cross multiply
    157,584x = 234,072 × 234,072
  4. Step 4: Simplify right side
    157,584x = 54,789,701,184
  5. Step 5: Solve for x
    x = 54,789,701,184/157,584
  6. Step 6: Final answer
    x = 347,685.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.