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Finding the Third Proportional to 164,074 and 358,518

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Solution

The third proportional to 164,074 and 358,518 is: 783,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,074 : 358,518 = 358,518 : x
  2. Step 2: Convert to fraction form
    164,074/358,518 = 358,518/x
  3. Step 3: Cross multiply
    164,074x = 358,518 × 358,518
  4. Step 4: Simplify right side
    164,074x = 128,535,156,324
  5. Step 5: Solve for x
    x = 128,535,156,324/164,074
  6. Step 6: Final answer
    x = 783,397.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.