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Finding the Third Proportional to 175,546 and 384,428

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Solution

The third proportional to 175,546 and 384,428 is: 841,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,546 : 384,428 = 384,428 : x
  2. Step 2: Convert to fraction form
    175,546/384,428 = 384,428/x
  3. Step 3: Cross multiply
    175,546x = 384,428 × 384,428
  4. Step 4: Simplify right side
    175,546x = 147,784,887,184
  5. Step 5: Solve for x
    x = 147,784,887,184/175,546
  6. Step 6: Final answer
    x = 841,858.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.