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Finding the Third Proportional to 183,459 and 291,865

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Solution

The third proportional to 183,459 and 291,865 is: 464,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,459 : 291,865 = 291,865 : x
  2. Step 2: Convert to fraction form
    183,459/291,865 = 291,865/x
  3. Step 3: Cross multiply
    183,459x = 291,865 × 291,865
  4. Step 4: Simplify right side
    183,459x = 85,185,178,225
  5. Step 5: Solve for x
    x = 85,185,178,225/183,459
  6. Step 6: Final answer
    x = 464,328.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.