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Finding the Third Proportional to 170,295 and 365,056.50

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Solution

The third proportional to 170,295 and 365,056.50 is: 782,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,295 : 365,056.50 = 365,056.50 : x
  2. Step 2: Convert to fraction form
    170,295/365,056.50 = 365,056.50/x
  3. Step 3: Cross multiply
    170,295x = 365,056.50 × 365,056.50
  4. Step 4: Simplify right side
    170,295x = 133,266,248,192.25
  5. Step 5: Solve for x
    x = 133,266,248,192.25/170,295
  6. Step 6: Final answer
    x = 782,561.13

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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.