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Finding the Third Proportional to 243,202.50 and 568,053

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Solution

The third proportional to 243,202.50 and 568,053 is: 1,326,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,202.50 : 568,053 = 568,053 : x
  2. Step 2: Convert to fraction form
    243,202.50/568,053 = 568,053/x
  3. Step 3: Cross multiply
    243,202.50x = 568,053 × 568,053
  4. Step 4: Simplify right side
    243,202.50x = 322,684,210,809
  5. Step 5: Solve for x
    x = 322,684,210,809/243,202.50
  6. Step 6: Final answer
    x = 1,326,812.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.