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Finding the Third Proportional to 210,006 and 336,875.63

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Solution

The third proportional to 210,006 and 336,875.63 is: 540,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,006 : 336,875.63 = 336,875.63 : x
  2. Step 2: Convert to fraction form
    210,006/336,875.63 = 336,875.63/x
  3. Step 3: Cross multiply
    210,006x = 336,875.63 × 336,875.63
  4. Step 4: Simplify right side
    210,006x = 113,485,186,719.14
  5. Step 5: Solve for x
    x = 113,485,186,719.14/210,006
  6. Step 6: Final answer
    x = 540,390.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.