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Finding the Third Proportional to 186,413.63 and 409,117.13

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Solution

The third proportional to 186,413.63 and 409,117.13 is: 897,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,413.63 : 409,117.13 = 409,117.13 : x
  2. Step 2: Convert to fraction form
    186,413.63/409,117.13 = 409,117.13/x
  3. Step 3: Cross multiply
    186,413.63x = 409,117.13 × 409,117.13
  4. Step 4: Simplify right side
    186,413.63x = 167,376,821,968.27
  5. Step 5: Solve for x
    x = 167,376,821,968.27/186,413.63
  6. Step 6: Final answer
    x = 897,878.69

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Why These Related Problems?

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