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Finding the Third Proportional to 102,969 and 240,554.25

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Solution

The third proportional to 102,969 and 240,554.25 is: 561,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,969 : 240,554.25 = 240,554.25 : x
  2. Step 2: Convert to fraction form
    102,969/240,554.25 = 240,554.25/x
  3. Step 3: Cross multiply
    102,969x = 240,554.25 × 240,554.25
  4. Step 4: Simplify right side
    102,969x = 57,866,347,193.06
  5. Step 5: Solve for x
    x = 57,866,347,193.06/102,969
  6. Step 6: Final answer
    x = 561,978.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.