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Finding the Third Proportional to 223,658.72 and 345,546

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Solution

The third proportional to 223,658.72 and 345,546 is: 533,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,658.72 : 345,546 = 345,546 : x
  2. Step 2: Convert to fraction form
    223,658.72/345,546 = 345,546/x
  3. Step 3: Cross multiply
    223,658.72x = 345,546 × 345,546
  4. Step 4: Simplify right side
    223,658.72x = 119,402,038,116
  5. Step 5: Solve for x
    x = 119,402,038,116/223,658.72
  6. Step 6: Final answer
    x = 533,858.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.