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Finding the Third Proportional to 243,008 and 364,510

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Solution

The third proportional to 243,008 and 364,510 is: 546,762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,008 : 364,510 = 364,510 : x
  2. Step 2: Convert to fraction form
    243,008/364,510 = 364,510/x
  3. Step 3: Cross multiply
    243,008x = 364,510 × 364,510
  4. Step 4: Simplify right side
    243,008x = 132,867,540,100
  5. Step 5: Solve for x
    x = 132,867,540,100/243,008
  6. Step 6: Final answer
    x = 546,762.00

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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.