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Finding the Third Proportional to 118,839 and 245,980.50

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Solution

The third proportional to 118,839 and 245,980.50 is: 509,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,839 : 245,980.50 = 245,980.50 : x
  2. Step 2: Convert to fraction form
    118,839/245,980.50 = 245,980.50/x
  3. Step 3: Cross multiply
    118,839x = 245,980.50 × 245,980.50
  4. Step 4: Simplify right side
    118,839x = 60,506,406,380.25
  5. Step 5: Solve for x
    x = 60,506,406,380.25/118,839
  6. Step 6: Final answer
    x = 509,146.04

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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.