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Finding the Third Proportional to 145,165.50 and 228,115.50

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Solution

The third proportional to 145,165.50 and 228,115.50 is: 358,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,165.50 : 228,115.50 = 228,115.50 : x
  2. Step 2: Convert to fraction form
    145,165.50/228,115.50 = 228,115.50/x
  3. Step 3: Cross multiply
    145,165.50x = 228,115.50 × 228,115.50
  4. Step 4: Simplify right side
    145,165.50x = 52,036,681,340.25
  5. Step 5: Solve for x
    x = 52,036,681,340.25/145,165.50
  6. Step 6: Final answer
    x = 358,464.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.