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Finding the Third Proportional to 183,167 and 390,527

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Solution

The third proportional to 183,167 and 390,527 is: 832,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,167 : 390,527 = 390,527 : x
  2. Step 2: Convert to fraction form
    183,167/390,527 = 390,527/x
  3. Step 3: Cross multiply
    183,167x = 390,527 × 390,527
  4. Step 4: Simplify right side
    183,167x = 152,511,337,729
  5. Step 5: Solve for x
    x = 152,511,337,729/183,167
  6. Step 6: Final answer
    x = 832,635.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.