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Finding the Third Proportional to 185,333.50 and 403,931

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Solution

The third proportional to 185,333.50 and 403,931 is: 880,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,333.50 : 403,931 = 403,931 : x
  2. Step 2: Convert to fraction form
    185,333.50/403,931 = 403,931/x
  3. Step 3: Cross multiply
    185,333.50x = 403,931 × 403,931
  4. Step 4: Simplify right side
    185,333.50x = 163,160,252,761
  5. Step 5: Solve for x
    x = 163,160,252,761/185,333.50
  6. Step 6: Final answer
    x = 880,360.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.