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Finding the Third Proportional to 179,026 and 390,008

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Solution

The third proportional to 179,026 and 390,008 is: 849,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,026 : 390,008 = 390,008 : x
  2. Step 2: Convert to fraction form
    179,026/390,008 = 390,008/x
  3. Step 3: Cross multiply
    179,026x = 390,008 × 390,008
  4. Step 4: Simplify right side
    179,026x = 152,106,240,064
  5. Step 5: Solve for x
    x = 152,106,240,064/179,026
  6. Step 6: Final answer
    x = 849,632.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.