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Finding the Third Proportional to 156,746 and 228,547

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Solution

The third proportional to 156,746 and 228,547 is: 333,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,746 : 228,547 = 228,547 : x
  2. Step 2: Convert to fraction form
    156,746/228,547 = 228,547/x
  3. Step 3: Cross multiply
    156,746x = 228,547 × 228,547
  4. Step 4: Simplify right side
    156,746x = 52,233,731,209
  5. Step 5: Solve for x
    x = 52,233,731,209/156,746
  6. Step 6: Final answer
    x = 333,238.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.