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Finding the Third Proportional to 164,358 and 246,535.50

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Solution

The third proportional to 164,358 and 246,535.50 is: 369,801.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,358 : 246,535.50 = 246,535.50 : x
  2. Step 2: Convert to fraction form
    164,358/246,535.50 = 246,535.50/x
  3. Step 3: Cross multiply
    164,358x = 246,535.50 × 246,535.50
  4. Step 4: Simplify right side
    164,358x = 60,779,752,760.25
  5. Step 5: Solve for x
    x = 60,779,752,760.25/164,358
  6. Step 6: Final answer
    x = 369,801.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.