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Finding the Third Proportional to 183,770 and 296,056

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Solution

The third proportional to 183,770 and 296,056 is: 476,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,770 : 296,056 = 296,056 : x
  2. Step 2: Convert to fraction form
    183,770/296,056 = 296,056/x
  3. Step 3: Cross multiply
    183,770x = 296,056 × 296,056
  4. Step 4: Simplify right side
    183,770x = 87,649,155,136
  5. Step 5: Solve for x
    x = 87,649,155,136/183,770
  6. Step 6: Final answer
    x = 476,950.29

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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.