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Finding the Third Proportional to 261,711 and 373,855.50

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Solution

The third proportional to 261,711 and 373,855.50 is: 534,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,711 : 373,855.50 = 373,855.50 : x
  2. Step 2: Convert to fraction form
    261,711/373,855.50 = 373,855.50/x
  3. Step 3: Cross multiply
    261,711x = 373,855.50 × 373,855.50
  4. Step 4: Simplify right side
    261,711x = 139,767,934,880.25
  5. Step 5: Solve for x
    x = 139,767,934,880.25/261,711
  6. Step 6: Final answer
    x = 534,054.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.