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Finding the Third Proportional to 147,004 and 322,034

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Solution

The third proportional to 147,004 and 322,034 is: 705,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,004 : 322,034 = 322,034 : x
  2. Step 2: Convert to fraction form
    147,004/322,034 = 322,034/x
  3. Step 3: Cross multiply
    147,004x = 322,034 × 322,034
  4. Step 4: Simplify right side
    147,004x = 103,705,897,156
  5. Step 5: Solve for x
    x = 103,705,897,156/147,004
  6. Step 6: Final answer
    x = 705,463.10

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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.