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Finding the Third Proportional to 243,588 and 364,152

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Solution

The third proportional to 243,588 and 364,152 is: 544,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,588 : 364,152 = 364,152 : x
  2. Step 2: Convert to fraction form
    243,588/364,152 = 364,152/x
  3. Step 3: Cross multiply
    243,588x = 364,152 × 364,152
  4. Step 4: Simplify right side
    243,588x = 132,606,679,104
  5. Step 5: Solve for x
    x = 132,606,679,104/243,588
  6. Step 6: Final answer
    x = 544,389.21

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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.