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Finding the Third Proportional to 226,042.50 and 306,985.50

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Solution

The third proportional to 226,042.50 and 306,985.50 is: 416,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,042.50 : 306,985.50 = 306,985.50 : x
  2. Step 2: Convert to fraction form
    226,042.50/306,985.50 = 306,985.50/x
  3. Step 3: Cross multiply
    226,042.50x = 306,985.50 × 306,985.50
  4. Step 4: Simplify right side
    226,042.50x = 94,240,097,210.25
  5. Step 5: Solve for x
    x = 94,240,097,210.25/226,042.50
  6. Step 6: Final answer
    x = 416,913.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.