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Finding the Third Proportional to 161,386 and 344,735

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Solution

The third proportional to 161,386 and 344,735 is: 736,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,386 : 344,735 = 344,735 : x
  2. Step 2: Convert to fraction form
    161,386/344,735 = 344,735/x
  3. Step 3: Cross multiply
    161,386x = 344,735 × 344,735
  4. Step 4: Simplify right side
    161,386x = 118,842,220,225
  5. Step 5: Solve for x
    x = 118,842,220,225/161,386
  6. Step 6: Final answer
    x = 736,384.94

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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.