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Finding the Third Proportional to 183,770 and 294,852

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Solution

The third proportional to 183,770 and 294,852 is: 473,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,770 : 294,852 = 294,852 : x
  2. Step 2: Convert to fraction form
    183,770/294,852 = 294,852/x
  3. Step 3: Cross multiply
    183,770x = 294,852 × 294,852
  4. Step 4: Simplify right side
    183,770x = 86,937,701,904
  5. Step 5: Solve for x
    x = 86,937,701,904/183,770
  6. Step 6: Final answer
    x = 473,078.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.