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Finding the Third Proportional to 219,528 and 349,416

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Solution

The third proportional to 219,528 and 349,416 is: 556,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,528 : 349,416 = 349,416 : x
  2. Step 2: Convert to fraction form
    219,528/349,416 = 349,416/x
  3. Step 3: Cross multiply
    219,528x = 349,416 × 349,416
  4. Step 4: Simplify right side
    219,528x = 122,091,541,056
  5. Step 5: Solve for x
    x = 122,091,541,056/219,528
  6. Step 6: Final answer
    x = 556,154.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.