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Finding the Third Proportional to 153,300 and 239,274

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Solution

The third proportional to 153,300 and 239,274 is: 373,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,300 : 239,274 = 239,274 : x
  2. Step 2: Convert to fraction form
    153,300/239,274 = 239,274/x
  3. Step 3: Cross multiply
    153,300x = 239,274 × 239,274
  4. Step 4: Simplify right side
    153,300x = 57,252,047,076
  5. Step 5: Solve for x
    x = 57,252,047,076/153,300
  6. Step 6: Final answer
    x = 373,464.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.