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Finding the Third Proportional to 142,209 and 307,224

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Solution

The third proportional to 142,209 and 307,224 is: 663,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,209 : 307,224 = 307,224 : x
  2. Step 2: Convert to fraction form
    142,209/307,224 = 307,224/x
  3. Step 3: Cross multiply
    142,209x = 307,224 × 307,224
  4. Step 4: Simplify right side
    142,209x = 94,386,586,176
  5. Step 5: Solve for x
    x = 94,386,586,176/142,209
  6. Step 6: Final answer
    x = 663,717.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.