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Finding the Third Proportional to 134,459 and 286,582

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Solution

The third proportional to 134,459 and 286,582 is: 610,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,459 : 286,582 = 286,582 : x
  2. Step 2: Convert to fraction form
    134,459/286,582 = 286,582/x
  3. Step 3: Cross multiply
    134,459x = 286,582 × 286,582
  4. Step 4: Simplify right side
    134,459x = 82,129,242,724
  5. Step 5: Solve for x
    x = 82,129,242,724/134,459
  6. Step 6: Final answer
    x = 610,812.54

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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.