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Finding the Third Proportional to 242,725 and 364,087

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Solution

The third proportional to 242,725 and 364,087 is: 546,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,725 : 364,087 = 364,087 : x
  2. Step 2: Convert to fraction form
    242,725/364,087 = 364,087/x
  3. Step 3: Cross multiply
    242,725x = 364,087 × 364,087
  4. Step 4: Simplify right side
    242,725x = 132,559,343,569
  5. Step 5: Solve for x
    x = 132,559,343,569/242,725
  6. Step 6: Final answer
    x = 546,129.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.