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Finding the Third Proportional to 188,547.75 and 406,613.25

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Solution

The third proportional to 188,547.75 and 406,613.25 is: 876,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,547.75 : 406,613.25 = 406,613.25 : x
  2. Step 2: Convert to fraction form
    188,547.75/406,613.25 = 406,613.25/x
  3. Step 3: Cross multiply
    188,547.75x = 406,613.25 × 406,613.25
  4. Step 4: Simplify right side
    188,547.75x = 165,334,335,075.56
  5. Step 5: Solve for x
    x = 165,334,335,075.56/188,547.75
  6. Step 6: Final answer
    x = 876,883.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.