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Finding the Third Proportional to 134,580 and 283,095

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Solution

The third proportional to 134,580 and 283,095 is: 595,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,580 : 283,095 = 283,095 : x
  2. Step 2: Convert to fraction form
    134,580/283,095 = 283,095/x
  3. Step 3: Cross multiply
    134,580x = 283,095 × 283,095
  4. Step 4: Simplify right side
    134,580x = 80,142,779,025
  5. Step 5: Solve for x
    x = 80,142,779,025/134,580
  6. Step 6: Final answer
    x = 595,502.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.