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Finding the Third Proportional to 210,083 and 302,002.50

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Solution

The third proportional to 210,083 and 302,002.50 is: 434,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,083 : 302,002.50 = 302,002.50 : x
  2. Step 2: Convert to fraction form
    210,083/302,002.50 = 302,002.50/x
  3. Step 3: Cross multiply
    210,083x = 302,002.50 × 302,002.50
  4. Step 4: Simplify right side
    210,083x = 91,205,510,006.25
  5. Step 5: Solve for x
    x = 91,205,510,006.25/210,083
  6. Step 6: Final answer
    x = 434,140.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.