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Finding the Third Proportional to 183,457.13 and 280,657.13

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Solution

The third proportional to 183,457.13 and 280,657.13 is: 429,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,457.13 : 280,657.13 = 280,657.13 : x
  2. Step 2: Convert to fraction form
    183,457.13/280,657.13 = 280,657.13/x
  3. Step 3: Cross multiply
    183,457.13x = 280,657.13 × 280,657.13
  4. Step 4: Simplify right side
    183,457.13x = 78,768,421,813.27
  5. Step 5: Solve for x
    x = 78,768,421,813.27/183,457.13
  6. Step 6: Final answer
    x = 429,356.02

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Why These Related Problems?

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