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Finding the Third Proportional to 164,094 and 358,560

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Solution

The third proportional to 164,094 and 358,560 is: 783,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,094 : 358,560 = 358,560 : x
  2. Step 2: Convert to fraction form
    164,094/358,560 = 358,560/x
  3. Step 3: Cross multiply
    164,094x = 358,560 × 358,560
  4. Step 4: Simplify right side
    164,094x = 128,565,273,600
  5. Step 5: Solve for x
    x = 128,565,273,600/164,094
  6. Step 6: Final answer
    x = 783,485.52

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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.