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Finding the Third Proportional to 243,999 and 364,564.13

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Solution

The third proportional to 243,999 and 364,564.13 is: 544,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,999 : 364,564.13 = 364,564.13 : x
  2. Step 2: Convert to fraction form
    243,999/364,564.13 = 364,564.13/x
  3. Step 3: Cross multiply
    243,999x = 364,564.13 × 364,564.13
  4. Step 4: Simplify right side
    243,999x = 132,907,001,237.02
  5. Step 5: Solve for x
    x = 132,907,001,237.02/243,999
  6. Step 6: Final answer
    x = 544,703.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.