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Finding the Third Proportional to 174,968 and 357,316

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Solution

The third proportional to 174,968 and 357,316 is: 729,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,968 : 357,316 = 357,316 : x
  2. Step 2: Convert to fraction form
    174,968/357,316 = 357,316/x
  3. Step 3: Cross multiply
    174,968x = 357,316 × 357,316
  4. Step 4: Simplify right side
    174,968x = 127,674,723,856
  5. Step 5: Solve for x
    x = 127,674,723,856/174,968
  6. Step 6: Final answer
    x = 729,703.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.