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Finding the Third Proportional to 147,000 and 233,072

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Solution

The third proportional to 147,000 and 233,072 is: 369,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,000 : 233,072 = 233,072 : x
  2. Step 2: Convert to fraction form
    147,000/233,072 = 233,072/x
  3. Step 3: Cross multiply
    147,000x = 233,072 × 233,072
  4. Step 4: Simplify right side
    147,000x = 54,322,557,184
  5. Step 5: Solve for x
    x = 54,322,557,184/147,000
  6. Step 6: Final answer
    x = 369,541.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.