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Finding the Third Proportional to 102,807 and 237,984

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Solution

The third proportional to 102,807 and 237,984 is: 550,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,807 : 237,984 = 237,984 : x
  2. Step 2: Convert to fraction form
    102,807/237,984 = 237,984/x
  3. Step 3: Cross multiply
    102,807x = 237,984 × 237,984
  4. Step 4: Simplify right side
    102,807x = 56,636,384,256
  5. Step 5: Solve for x
    x = 56,636,384,256/102,807
  6. Step 6: Final answer
    x = 550,900.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.