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Finding the Third Proportional to 243,510 and 364,275

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Solution

The third proportional to 243,510 and 364,275 is: 544,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,510 : 364,275 = 364,275 : x
  2. Step 2: Convert to fraction form
    243,510/364,275 = 364,275/x
  3. Step 3: Cross multiply
    243,510x = 364,275 × 364,275
  4. Step 4: Simplify right side
    243,510x = 132,696,275,625
  5. Step 5: Solve for x
    x = 132,696,275,625/243,510
  6. Step 6: Final answer
    x = 544,931.52

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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.