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Finding the Third Proportional to 176,362 and 370,196

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Solution

The third proportional to 176,362 and 370,196 is: 777,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,362 : 370,196 = 370,196 : x
  2. Step 2: Convert to fraction form
    176,362/370,196 = 370,196/x
  3. Step 3: Cross multiply
    176,362x = 370,196 × 370,196
  4. Step 4: Simplify right side
    176,362x = 137,045,078,416
  5. Step 5: Solve for x
    x = 137,045,078,416/176,362
  6. Step 6: Final answer
    x = 777,066.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.