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Finding the Third Proportional to 164,415 and 358,617

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Solution

The third proportional to 164,415 and 358,617 is: 782,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,415 : 358,617 = 358,617 : x
  2. Step 2: Convert to fraction form
    164,415/358,617 = 358,617/x
  3. Step 3: Cross multiply
    164,415x = 358,617 × 358,617
  4. Step 4: Simplify right side
    164,415x = 128,606,152,689
  5. Step 5: Solve for x
    x = 128,606,152,689/164,415
  6. Step 6: Final answer
    x = 782,204.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.