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Finding the Third Proportional to 301,335 and 442,161

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Solution

The third proportional to 301,335 and 442,161 is: 648,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,335 : 442,161 = 442,161 : x
  2. Step 2: Convert to fraction form
    301,335/442,161 = 442,161/x
  3. Step 3: Cross multiply
    301,335x = 442,161 × 442,161
  4. Step 4: Simplify right side
    301,335x = 195,506,349,921
  5. Step 5: Solve for x
    x = 195,506,349,921/301,335
  6. Step 6: Final answer
    x = 648,800.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.