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Finding the Third Proportional to 183,715.31 and 374,811.47

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Solution

The third proportional to 183,715.31 and 374,811.47 is: 764,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,715.31 : 374,811.47 = 374,811.47 : x
  2. Step 2: Convert to fraction form
    183,715.31/374,811.47 = 374,811.47/x
  3. Step 3: Cross multiply
    183,715.31x = 374,811.47 × 374,811.47
  4. Step 4: Simplify right side
    183,715.31x = 140,483,637,106.53
  5. Step 5: Solve for x
    x = 140,483,637,106.53/183,715.31
  6. Step 6: Final answer
    x = 764,681.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.