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Finding the Third Proportional to 156,919 and 348,709

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Solution

The third proportional to 156,919 and 348,709 is: 774,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,919 : 348,709 = 348,709 : x
  2. Step 2: Convert to fraction form
    156,919/348,709 = 348,709/x
  3. Step 3: Cross multiply
    156,919x = 348,709 × 348,709
  4. Step 4: Simplify right side
    156,919x = 121,597,966,681
  5. Step 5: Solve for x
    x = 121,597,966,681/156,919
  6. Step 6: Final answer
    x = 774,909.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.