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Finding the Third Proportional to 163,768.50 and 358,087.50

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Solution

The third proportional to 163,768.50 and 358,087.50 is: 782,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,768.50 : 358,087.50 = 358,087.50 : x
  2. Step 2: Convert to fraction form
    163,768.50/358,087.50 = 358,087.50/x
  3. Step 3: Cross multiply
    163,768.50x = 358,087.50 × 358,087.50
  4. Step 4: Simplify right side
    163,768.50x = 128,226,657,656.25
  5. Step 5: Solve for x
    x = 128,226,657,656.25/163,768.50
  6. Step 6: Final answer
    x = 782,975.10

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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.