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Finding the Third Proportional to 153,312 and 206,024

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Solution

The third proportional to 153,312 and 206,024 is: 276,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,312 : 206,024 = 206,024 : x
  2. Step 2: Convert to fraction form
    153,312/206,024 = 206,024/x
  3. Step 3: Cross multiply
    153,312x = 206,024 × 206,024
  4. Step 4: Simplify right side
    153,312x = 42,445,888,576
  5. Step 5: Solve for x
    x = 42,445,888,576/153,312
  6. Step 6: Final answer
    x = 276,859.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.