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Finding the Third Proportional to 175,445 and 264,746

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Solution

The third proportional to 175,445 and 264,746 is: 399,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,445 : 264,746 = 264,746 : x
  2. Step 2: Convert to fraction form
    175,445/264,746 = 264,746/x
  3. Step 3: Cross multiply
    175,445x = 264,746 × 264,746
  4. Step 4: Simplify right side
    175,445x = 70,090,444,516
  5. Step 5: Solve for x
    x = 70,090,444,516/175,445
  6. Step 6: Final answer
    x = 399,500.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.