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Finding the Third Proportional to 183,527 and 283,654.50

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Solution

The third proportional to 183,527 and 283,654.50 is: 438,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,527 : 283,654.50 = 283,654.50 : x
  2. Step 2: Convert to fraction form
    183,527/283,654.50 = 283,654.50/x
  3. Step 3: Cross multiply
    183,527x = 283,654.50 × 283,654.50
  4. Step 4: Simplify right side
    183,527x = 80,459,875,370.25
  5. Step 5: Solve for x
    x = 80,459,875,370.25/183,527
  6. Step 6: Final answer
    x = 438,408.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.