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Finding the Third Proportional to 173,724 and 275,307.75

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Solution

The third proportional to 173,724 and 275,307.75 is: 436,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,724 : 275,307.75 = 275,307.75 : x
  2. Step 2: Convert to fraction form
    173,724/275,307.75 = 275,307.75/x
  3. Step 3: Cross multiply
    173,724x = 275,307.75 × 275,307.75
  4. Step 4: Simplify right side
    173,724x = 75,794,357,210.06
  5. Step 5: Solve for x
    x = 75,794,357,210.06/173,724
  6. Step 6: Final answer
    x = 436,291.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.