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Finding the Third Proportional to 210,033 and 282,973.50

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Solution

The third proportional to 210,033 and 282,973.50 is: 381,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,033 : 282,973.50 = 282,973.50 : x
  2. Step 2: Convert to fraction form
    210,033/282,973.50 = 282,973.50/x
  3. Step 3: Cross multiply
    210,033x = 282,973.50 × 282,973.50
  4. Step 4: Simplify right side
    210,033x = 80,074,001,702.25
  5. Step 5: Solve for x
    x = 80,074,001,702.25/210,033
  6. Step 6: Final answer
    x = 381,244.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.