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Finding the Third Proportional to 229,110.75 and 349,582.50

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Solution

The third proportional to 229,110.75 and 349,582.50 is: 533,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,110.75 : 349,582.50 = 349,582.50 : x
  2. Step 2: Convert to fraction form
    229,110.75/349,582.50 = 349,582.50/x
  3. Step 3: Cross multiply
    229,110.75x = 349,582.50 × 349,582.50
  4. Step 4: Simplify right side
    229,110.75x = 122,207,924,306.25
  5. Step 5: Solve for x
    x = 122,207,924,306.25/229,110.75
  6. Step 6: Final answer
    x = 533,401.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.