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Finding the Third Proportional to 133,209 and 285,417

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Solution

The third proportional to 133,209 and 285,417 is: 611,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,209 : 285,417 = 285,417 : x
  2. Step 2: Convert to fraction form
    133,209/285,417 = 285,417/x
  3. Step 3: Cross multiply
    133,209x = 285,417 × 285,417
  4. Step 4: Simplify right side
    133,209x = 81,462,863,889
  5. Step 5: Solve for x
    x = 81,462,863,889/133,209
  6. Step 6: Final answer
    x = 611,541.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.