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Finding the Third Proportional to 183,465 and 282,082.50

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Solution

The third proportional to 183,465 and 282,082.50 is: 433,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,465 : 282,082.50 = 282,082.50 : x
  2. Step 2: Convert to fraction form
    183,465/282,082.50 = 282,082.50/x
  3. Step 3: Cross multiply
    183,465x = 282,082.50 × 282,082.50
  4. Step 4: Simplify right side
    183,465x = 79,570,536,806.25
  5. Step 5: Solve for x
    x = 79,570,536,806.25/183,465
  6. Step 6: Final answer
    x = 433,709.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.