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Finding the Third Proportional to 163,615 and 342,053

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Solution

The third proportional to 163,615 and 342,053 is: 715,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,615 : 342,053 = 342,053 : x
  2. Step 2: Convert to fraction form
    163,615/342,053 = 342,053/x
  3. Step 3: Cross multiply
    163,615x = 342,053 × 342,053
  4. Step 4: Simplify right side
    163,615x = 117,000,254,809
  5. Step 5: Solve for x
    x = 117,000,254,809/163,615
  6. Step 6: Final answer
    x = 715,094.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.