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Finding the Third Proportional to 183,527 and 290,062.50

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Solution

The third proportional to 183,527 and 290,062.50 is: 458,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,527 : 290,062.50 = 290,062.50 : x
  2. Step 2: Convert to fraction form
    183,527/290,062.50 = 290,062.50/x
  3. Step 3: Cross multiply
    183,527x = 290,062.50 × 290,062.50
  4. Step 4: Simplify right side
    183,527x = 84,136,253,906.25
  5. Step 5: Solve for x
    x = 84,136,253,906.25/183,527
  6. Step 6: Final answer
    x = 458,440.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.