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Finding the Third Proportional to 181,926 and 382,702.50

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Solution

The third proportional to 181,926 and 382,702.50 is: 805,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,926 : 382,702.50 = 382,702.50 : x
  2. Step 2: Convert to fraction form
    181,926/382,702.50 = 382,702.50/x
  3. Step 3: Cross multiply
    181,926x = 382,702.50 × 382,702.50
  4. Step 4: Simplify right side
    181,926x = 146,461,203,506.25
  5. Step 5: Solve for x
    x = 146,461,203,506.25/181,926
  6. Step 6: Final answer
    x = 805,059.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.