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Finding the Third Proportional to 233,348 and 362,008

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Solution

The third proportional to 233,348 and 362,008 is: 561,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,348 : 362,008 = 362,008 : x
  2. Step 2: Convert to fraction form
    233,348/362,008 = 362,008/x
  3. Step 3: Cross multiply
    233,348x = 362,008 × 362,008
  4. Step 4: Simplify right side
    233,348x = 131,049,792,064
  5. Step 5: Solve for x
    x = 131,049,792,064/233,348
  6. Step 6: Final answer
    x = 561,606.66

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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.