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Finding the Third Proportional to 187,547.48 and 410,669.16

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Solution

The third proportional to 187,547.48 and 410,669.16 is: 899,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,547.48 : 410,669.16 = 410,669.16 : x
  2. Step 2: Convert to fraction form
    187,547.48/410,669.16 = 410,669.16/x
  3. Step 3: Cross multiply
    187,547.48x = 410,669.16 × 410,669.16
  4. Step 4: Simplify right side
    187,547.48x = 168,649,155,895.09
  5. Step 5: Solve for x
    x = 168,649,155,895.09/187,547.48
  6. Step 6: Final answer
    x = 899,234.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.