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Finding the Third Proportional to 114,184 and 240,678

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Solution

The third proportional to 114,184 and 240,678 is: 507,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,184 : 240,678 = 240,678 : x
  2. Step 2: Convert to fraction form
    114,184/240,678 = 240,678/x
  3. Step 3: Cross multiply
    114,184x = 240,678 × 240,678
  4. Step 4: Simplify right side
    114,184x = 57,925,899,684
  5. Step 5: Solve for x
    x = 57,925,899,684/114,184
  6. Step 6: Final answer
    x = 507,303.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.