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Finding the Third Proportional to 164,316 and 264,545

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Solution

The third proportional to 164,316 and 264,545 is: 425,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,316 : 264,545 = 264,545 : x
  2. Step 2: Convert to fraction form
    164,316/264,545 = 264,545/x
  3. Step 3: Cross multiply
    164,316x = 264,545 × 264,545
  4. Step 4: Simplify right side
    164,316x = 69,984,057,025
  5. Step 5: Solve for x
    x = 69,984,057,025/164,316
  6. Step 6: Final answer
    x = 425,911.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.