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Finding the Third Proportional to 243,975 and 369,364.50

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Solution

The third proportional to 243,975 and 369,364.50 is: 559,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,975 : 369,364.50 = 369,364.50 : x
  2. Step 2: Convert to fraction form
    243,975/369,364.50 = 369,364.50/x
  3. Step 3: Cross multiply
    243,975x = 369,364.50 × 369,364.50
  4. Step 4: Simplify right side
    243,975x = 136,430,133,860.25
  5. Step 5: Solve for x
    x = 136,430,133,860.25/243,975
  6. Step 6: Final answer
    x = 559,197.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.