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Finding the Third Proportional to 219,332 and 297,209

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Solution

The third proportional to 219,332 and 297,209 is: 402,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,332 : 297,209 = 297,209 : x
  2. Step 2: Convert to fraction form
    219,332/297,209 = 297,209/x
  3. Step 3: Cross multiply
    219,332x = 297,209 × 297,209
  4. Step 4: Simplify right side
    219,332x = 88,333,189,681
  5. Step 5: Solve for x
    x = 88,333,189,681/219,332
  6. Step 6: Final answer
    x = 402,737.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.