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Finding the Third Proportional to 242,240.63 and 346,761

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Solution

The third proportional to 242,240.63 and 346,761 is: 496,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,240.63 : 346,761 = 346,761 : x
  2. Step 2: Convert to fraction form
    242,240.63/346,761 = 346,761/x
  3. Step 3: Cross multiply
    242,240.63x = 346,761 × 346,761
  4. Step 4: Simplify right side
    242,240.63x = 120,243,191,121
  5. Step 5: Solve for x
    x = 120,243,191,121/242,240.63
  6. Step 6: Final answer
    x = 496,379.13

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Why These Related Problems?

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