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Finding the Third Proportional to 170,633 and 265,613.50

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Solution

The third proportional to 170,633 and 265,613.50 is: 413,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,633 : 265,613.50 = 265,613.50 : x
  2. Step 2: Convert to fraction form
    170,633/265,613.50 = 265,613.50/x
  3. Step 3: Cross multiply
    170,633x = 265,613.50 × 265,613.50
  4. Step 4: Simplify right side
    170,633x = 70,550,531,382.25
  5. Step 5: Solve for x
    x = 70,550,531,382.25/170,633
  6. Step 6: Final answer
    x = 413,463.58

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.