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Finding the Third Proportional to 114,698.25 and 237,460.50

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Solution

The third proportional to 114,698.25 and 237,460.50 is: 491,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,698.25 : 237,460.50 = 237,460.50 : x
  2. Step 2: Convert to fraction form
    114,698.25/237,460.50 = 237,460.50/x
  3. Step 3: Cross multiply
    114,698.25x = 237,460.50 × 237,460.50
  4. Step 4: Simplify right side
    114,698.25x = 56,387,489,060.25
  5. Step 5: Solve for x
    x = 56,387,489,060.25/114,698.25
  6. Step 6: Final answer
    x = 491,615.95

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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.