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Finding the Third Proportional to 140,557 and 302,606

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Solution

The third proportional to 140,557 and 302,606 is: 651,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,557 : 302,606 = 302,606 : x
  2. Step 2: Convert to fraction form
    140,557/302,606 = 302,606/x
  3. Step 3: Cross multiply
    140,557x = 302,606 × 302,606
  4. Step 4: Simplify right side
    140,557x = 91,570,391,236
  5. Step 5: Solve for x
    x = 91,570,391,236/140,557
  6. Step 6: Final answer
    x = 651,482.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.