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Finding the Third Proportional to 176,306 and 391,852

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Solution

The third proportional to 176,306 and 391,852 is: 870,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,306 : 391,852 = 391,852 : x
  2. Step 2: Convert to fraction form
    176,306/391,852 = 391,852/x
  3. Step 3: Cross multiply
    176,306x = 391,852 × 391,852
  4. Step 4: Simplify right side
    176,306x = 153,547,989,904
  5. Step 5: Solve for x
    x = 153,547,989,904/176,306
  6. Step 6: Final answer
    x = 870,917.55

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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.