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Finding the Third Proportional to 184,768 and 297,570

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Solution

The third proportional to 184,768 and 297,570 is: 479,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,768 : 297,570 = 297,570 : x
  2. Step 2: Convert to fraction form
    184,768/297,570 = 297,570/x
  3. Step 3: Cross multiply
    184,768x = 297,570 × 297,570
  4. Step 4: Simplify right side
    184,768x = 88,547,904,900
  5. Step 5: Solve for x
    x = 88,547,904,900/184,768
  6. Step 6: Final answer
    x = 479,238.31

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.