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Finding the Third Proportional to 176,709.38 and 392,602.50

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Solution

The third proportional to 176,709.38 and 392,602.50 is: 872,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,709.38 : 392,602.50 = 392,602.50 : x
  2. Step 2: Convert to fraction form
    176,709.38/392,602.50 = 392,602.50/x
  3. Step 3: Cross multiply
    176,709.38x = 392,602.50 × 392,602.50
  4. Step 4: Simplify right side
    176,709.38x = 154,136,723,006.25
  5. Step 5: Solve for x
    x = 154,136,723,006.25/176,709.38
  6. Step 6: Final answer
    x = 872,261.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.