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Finding the Third Proportional to 169,428 and 362,124

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Solution

The third proportional to 169,428 and 362,124 is: 773,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,428 : 362,124 = 362,124 : x
  2. Step 2: Convert to fraction form
    169,428/362,124 = 362,124/x
  3. Step 3: Cross multiply
    169,428x = 362,124 × 362,124
  4. Step 4: Simplify right side
    169,428x = 131,133,791,376
  5. Step 5: Solve for x
    x = 131,133,791,376/169,428
  6. Step 6: Final answer
    x = 773,979.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.