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Finding the Third Proportional to 243,582 and 364,380

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Solution

The third proportional to 243,582 and 364,380 is: 545,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,582 : 364,380 = 364,380 : x
  2. Step 2: Convert to fraction form
    243,582/364,380 = 364,380/x
  3. Step 3: Cross multiply
    243,582x = 364,380 × 364,380
  4. Step 4: Simplify right side
    243,582x = 132,772,784,400
  5. Step 5: Solve for x
    x = 132,772,784,400/243,582
  6. Step 6: Final answer
    x = 545,084.55

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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.