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Finding the Third Proportional to 145,908 and 228,582

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Solution

The third proportional to 145,908 and 228,582 is: 358,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,908 : 228,582 = 228,582 : x
  2. Step 2: Convert to fraction form
    145,908/228,582 = 228,582/x
  3. Step 3: Cross multiply
    145,908x = 228,582 × 228,582
  4. Step 4: Simplify right side
    145,908x = 52,249,730,724
  5. Step 5: Solve for x
    x = 52,249,730,724/145,908
  6. Step 6: Final answer
    x = 358,100.52

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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.