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Finding the Third Proportional to 160,461 and 254,299.50

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Solution

The third proportional to 160,461 and 254,299.50 is: 403,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,461 : 254,299.50 = 254,299.50 : x
  2. Step 2: Convert to fraction form
    160,461/254,299.50 = 254,299.50/x
  3. Step 3: Cross multiply
    160,461x = 254,299.50 × 254,299.50
  4. Step 4: Simplify right side
    160,461x = 64,668,235,700.25
  5. Step 5: Solve for x
    x = 64,668,235,700.25/160,461
  6. Step 6: Final answer
    x = 403,015.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.