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Finding the Third Proportional to 133,051 and 288,706

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Solution

The third proportional to 133,051 and 288,706 is: 626,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051 : 288,706 = 288,706 : x
  2. Step 2: Convert to fraction form
    133,051/288,706 = 288,706/x
  3. Step 3: Cross multiply
    133,051x = 288,706 × 288,706
  4. Step 4: Simplify right side
    133,051x = 83,351,154,436
  5. Step 5: Solve for x
    x = 83,351,154,436/133,051
  6. Step 6: Final answer
    x = 626,460.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.