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Finding the Third Proportional to 229,303.50 and 347,418

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Solution

The third proportional to 229,303.50 and 347,418 is: 526,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,303.50 : 347,418 = 347,418 : x
  2. Step 2: Convert to fraction form
    229,303.50/347,418 = 347,418/x
  3. Step 3: Cross multiply
    229,303.50x = 347,418 × 347,418
  4. Step 4: Simplify right side
    229,303.50x = 120,699,266,724
  5. Step 5: Solve for x
    x = 120,699,266,724/229,303.50
  6. Step 6: Final answer
    x = 526,373.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.