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Finding the Third Proportional to 114,764 and 248,585

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Solution

The third proportional to 114,764 and 248,585 is: 538,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,764 : 248,585 = 248,585 : x
  2. Step 2: Convert to fraction form
    114,764/248,585 = 248,585/x
  3. Step 3: Cross multiply
    114,764x = 248,585 × 248,585
  4. Step 4: Simplify right side
    114,764x = 61,794,502,225
  5. Step 5: Solve for x
    x = 61,794,502,225/114,764
  6. Step 6: Final answer
    x = 538,448.49

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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.