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Finding the Third Proportional to 237,820 and 358,746

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Solution

The third proportional to 237,820 and 358,746 is: 541,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,820 : 358,746 = 358,746 : x
  2. Step 2: Convert to fraction form
    237,820/358,746 = 358,746/x
  3. Step 3: Cross multiply
    237,820x = 358,746 × 358,746
  4. Step 4: Simplify right side
    237,820x = 128,698,692,516
  5. Step 5: Solve for x
    x = 128,698,692,516/237,820
  6. Step 6: Final answer
    x = 541,160.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.