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Finding the Third Proportional to 176,004 and 385,785

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Solution

The third proportional to 176,004 and 385,785 is: 845,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,004 : 385,785 = 385,785 : x
  2. Step 2: Convert to fraction form
    176,004/385,785 = 385,785/x
  3. Step 3: Cross multiply
    176,004x = 385,785 × 385,785
  4. Step 4: Simplify right side
    176,004x = 148,830,066,225
  5. Step 5: Solve for x
    x = 148,830,066,225/176,004
  6. Step 6: Final answer
    x = 845,606.16

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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.