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Finding the Third Proportional to 233,981 and 376,813.50

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Solution

The third proportional to 233,981 and 376,813.50 is: 606,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,981 : 376,813.50 = 376,813.50 : x
  2. Step 2: Convert to fraction form
    233,981/376,813.50 = 376,813.50/x
  3. Step 3: Cross multiply
    233,981x = 376,813.50 × 376,813.50
  4. Step 4: Simplify right side
    233,981x = 141,988,413,782.25
  5. Step 5: Solve for x
    x = 141,988,413,782.25/233,981
  6. Step 6: Final answer
    x = 606,837.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.