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Finding the Third Proportional to 145,826 and 228,459

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Solution

The third proportional to 145,826 and 228,459 is: 357,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,826 : 228,459 = 228,459 : x
  2. Step 2: Convert to fraction form
    145,826/228,459 = 228,459/x
  3. Step 3: Cross multiply
    145,826x = 228,459 × 228,459
  4. Step 4: Simplify right side
    145,826x = 52,193,514,681
  5. Step 5: Solve for x
    x = 52,193,514,681/145,826
  6. Step 6: Final answer
    x = 357,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.