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Finding the Third Proportional to 140,788 and 291,557

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Solution

The third proportional to 140,788 and 291,557 is: 603,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,788 : 291,557 = 291,557 : x
  2. Step 2: Convert to fraction form
    140,788/291,557 = 291,557/x
  3. Step 3: Cross multiply
    140,788x = 291,557 × 291,557
  4. Step 4: Simplify right side
    140,788x = 85,005,484,249
  5. Step 5: Solve for x
    x = 85,005,484,249/140,788
  6. Step 6: Final answer
    x = 603,783.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.