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Finding the Third Proportional to 238,983 and 366,829.50

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Solution

The third proportional to 238,983 and 366,829.50 is: 563,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,983 : 366,829.50 = 366,829.50 : x
  2. Step 2: Convert to fraction form
    238,983/366,829.50 = 366,829.50/x
  3. Step 3: Cross multiply
    238,983x = 366,829.50 × 366,829.50
  4. Step 4: Simplify right side
    238,983x = 134,563,882,070.25
  5. Step 5: Solve for x
    x = 134,563,882,070.25/238,983
  6. Step 6: Final answer
    x = 563,068.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.