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Finding the Third Proportional to 162,263 and 355,065

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Solution

The third proportional to 162,263 and 355,065 is: 776,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,263 : 355,065 = 355,065 : x
  2. Step 2: Convert to fraction form
    162,263/355,065 = 355,065/x
  3. Step 3: Cross multiply
    162,263x = 355,065 × 355,065
  4. Step 4: Simplify right side
    162,263x = 126,071,154,225
  5. Step 5: Solve for x
    x = 126,071,154,225/162,263
  6. Step 6: Final answer
    x = 776,955.65

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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.