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Finding the Third Proportional to 164,031.75 and 358,924.50

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Solution

The third proportional to 164,031.75 and 358,924.50 is: 785,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,031.75 : 358,924.50 = 358,924.50 : x
  2. Step 2: Convert to fraction form
    164,031.75/358,924.50 = 358,924.50/x
  3. Step 3: Cross multiply
    164,031.75x = 358,924.50 × 358,924.50
  4. Step 4: Simplify right side
    164,031.75x = 128,826,796,700.25
  5. Step 5: Solve for x
    x = 128,826,796,700.25/164,031.75
  6. Step 6: Final answer
    x = 785,377.20

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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.