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Finding the Third Proportional to 152,176.50 and 325,458

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Solution

The third proportional to 152,176.50 and 325,458 is: 696,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,176.50 : 325,458 = 325,458 : x
  2. Step 2: Convert to fraction form
    152,176.50/325,458 = 325,458/x
  3. Step 3: Cross multiply
    152,176.50x = 325,458 × 325,458
  4. Step 4: Simplify right side
    152,176.50x = 105,922,909,764
  5. Step 5: Solve for x
    x = 105,922,909,764/152,176.50
  6. Step 6: Final answer
    x = 696,053.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.