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Finding the Third Proportional to 258,133.50 and 555,822

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Solution

The third proportional to 258,133.50 and 555,822 is: 1,196,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,133.50 : 555,822 = 555,822 : x
  2. Step 2: Convert to fraction form
    258,133.50/555,822 = 555,822/x
  3. Step 3: Cross multiply
    258,133.50x = 555,822 × 555,822
  4. Step 4: Simplify right side
    258,133.50x = 308,938,095,684
  5. Step 5: Solve for x
    x = 308,938,095,684/258,133.50
  6. Step 6: Final answer
    x = 1,196,815.20

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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.