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Finding the Third Proportional to 214,246 and 314,739

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Solution

The third proportional to 214,246 and 314,739 is: 462,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,246 : 314,739 = 314,739 : x
  2. Step 2: Convert to fraction form
    214,246/314,739 = 314,739/x
  3. Step 3: Cross multiply
    214,246x = 314,739 × 314,739
  4. Step 4: Simplify right side
    214,246x = 99,060,638,121
  5. Step 5: Solve for x
    x = 99,060,638,121/214,246
  6. Step 6: Final answer
    x = 462,368.67

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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.