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Finding the Third Proportional to 164,319 and 264,549.50

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Solution

The third proportional to 164,319 and 264,549.50 is: 425,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,319 : 264,549.50 = 264,549.50 : x
  2. Step 2: Convert to fraction form
    164,319/264,549.50 = 264,549.50/x
  3. Step 3: Cross multiply
    164,319x = 264,549.50 × 264,549.50
  4. Step 4: Simplify right side
    164,319x = 69,986,437,950.25
  5. Step 5: Solve for x
    x = 69,986,437,950.25/164,319
  6. Step 6: Final answer
    x = 425,918.11

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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.