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Finding the Third Proportional to 184,428 and 292,770

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Solution

The third proportional to 184,428 and 292,770 is: 464,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,428 : 292,770 = 292,770 : x
  2. Step 2: Convert to fraction form
    184,428/292,770 = 292,770/x
  3. Step 3: Cross multiply
    184,428x = 292,770 × 292,770
  4. Step 4: Simplify right side
    184,428x = 85,714,272,900
  5. Step 5: Solve for x
    x = 85,714,272,900/184,428
  6. Step 6: Final answer
    x = 464,757.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.