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Finding the Third Proportional to 163,053 and 224,491.50

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Solution

The third proportional to 163,053 and 224,491.50 is: 309,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,053 : 224,491.50 = 224,491.50 : x
  2. Step 2: Convert to fraction form
    163,053/224,491.50 = 224,491.50/x
  3. Step 3: Cross multiply
    163,053x = 224,491.50 × 224,491.50
  4. Step 4: Simplify right side
    163,053x = 50,396,433,572.25
  5. Step 5: Solve for x
    x = 50,396,433,572.25/163,053
  6. Step 6: Final answer
    x = 309,080.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.