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Finding the Third Proportional to 174,983 and 258,784

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Solution

The third proportional to 174,983 and 258,784 is: 382,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,983 : 258,784 = 258,784 : x
  2. Step 2: Convert to fraction form
    174,983/258,784 = 258,784/x
  3. Step 3: Cross multiply
    174,983x = 258,784 × 258,784
  4. Step 4: Simplify right side
    174,983x = 66,969,158,656
  5. Step 5: Solve for x
    x = 66,969,158,656/174,983
  6. Step 6: Final answer
    x = 382,718.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.