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Finding the Third Proportional to 210,117 and 315,390.50

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Solution

The third proportional to 210,117 and 315,390.50 is: 473,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,117 : 315,390.50 = 315,390.50 : x
  2. Step 2: Convert to fraction form
    210,117/315,390.50 = 315,390.50/x
  3. Step 3: Cross multiply
    210,117x = 315,390.50 × 315,390.50
  4. Step 4: Simplify right side
    210,117x = 99,471,167,490.25
  5. Step 5: Solve for x
    x = 99,471,167,490.25/210,117
  6. Step 6: Final answer
    x = 473,408.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.