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Finding the Third Proportional to 183,952 and 295,088

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Solution

The third proportional to 183,952 and 295,088 is: 473,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,952 : 295,088 = 295,088 : x
  2. Step 2: Convert to fraction form
    183,952/295,088 = 295,088/x
  3. Step 3: Cross multiply
    183,952x = 295,088 × 295,088
  4. Step 4: Simplify right side
    183,952x = 87,076,927,744
  5. Step 5: Solve for x
    x = 87,076,927,744/183,952
  6. Step 6: Final answer
    x = 473,367.66

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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.