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Finding the Third Proportional to 242,080 and 373,328

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Solution

The third proportional to 242,080 and 373,328 is: 575,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,080 : 373,328 = 373,328 : x
  2. Step 2: Convert to fraction form
    242,080/373,328 = 373,328/x
  3. Step 3: Cross multiply
    242,080x = 373,328 × 373,328
  4. Step 4: Simplify right side
    242,080x = 139,373,795,584
  5. Step 5: Solve for x
    x = 139,373,795,584/242,080
  6. Step 6: Final answer
    x = 575,734.45

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Why These Related Problems?

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