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Finding the Third Proportional to 145,162.27 and 312,570.42

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Solution

The third proportional to 145,162.27 and 312,570.42 is: 673,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162.27 : 312,570.42 = 312,570.42 : x
  2. Step 2: Convert to fraction form
    145,162.27/312,570.42 = 312,570.42/x
  3. Step 3: Cross multiply
    145,162.27x = 312,570.42 × 312,570.42
  4. Step 4: Simplify right side
    145,162.27x = 97,700,268,631.12
  5. Step 5: Solve for x
    x = 97,700,268,631.12/145,162.27
  6. Step 6: Final answer
    x = 673,041.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.