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Finding the Third Proportional to 183,561 and 282,349.50

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Solution

The third proportional to 183,561 and 282,349.50 is: 434,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,561 : 282,349.50 = 282,349.50 : x
  2. Step 2: Convert to fraction form
    183,561/282,349.50 = 282,349.50/x
  3. Step 3: Cross multiply
    183,561x = 282,349.50 × 282,349.50
  4. Step 4: Simplify right side
    183,561x = 79,721,240,150.25
  5. Step 5: Solve for x
    x = 79,721,240,150.25/183,561
  6. Step 6: Final answer
    x = 434,303.80

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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.