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Finding the Third Proportional to 160,994 and 342,776

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Solution

The third proportional to 160,994 and 342,776 is: 729,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,994 : 342,776 = 342,776 : x
  2. Step 2: Convert to fraction form
    160,994/342,776 = 342,776/x
  3. Step 3: Cross multiply
    160,994x = 342,776 × 342,776
  4. Step 4: Simplify right side
    160,994x = 117,495,386,176
  5. Step 5: Solve for x
    x = 117,495,386,176/160,994
  6. Step 6: Final answer
    x = 729,812.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.