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Finding the Third Proportional to 161,946 and 355,776

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Solution

The third proportional to 161,946 and 355,776 is: 781,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,946 : 355,776 = 355,776 : x
  2. Step 2: Convert to fraction form
    161,946/355,776 = 355,776/x
  3. Step 3: Cross multiply
    161,946x = 355,776 × 355,776
  4. Step 4: Simplify right side
    161,946x = 126,576,562,176
  5. Step 5: Solve for x
    x = 126,576,562,176/161,946
  6. Step 6: Final answer
    x = 781,597.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.