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Finding the Third Proportional to 75,684 and 151,354.50

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Solution

The third proportional to 75,684 and 151,354.50 is: 302,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,684 : 151,354.50 = 151,354.50 : x
  2. Step 2: Convert to fraction form
    75,684/151,354.50 = 151,354.50/x
  3. Step 3: Cross multiply
    75,684x = 151,354.50 × 151,354.50
  4. Step 4: Simplify right side
    75,684x = 22,908,184,670.25
  5. Step 5: Solve for x
    x = 22,908,184,670.25/75,684
  6. Step 6: Final answer
    x = 302,682.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.