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Finding the Third Proportional to 242,964 and 530,184

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Solution

The third proportional to 242,964 and 530,184 is: 1,156,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,964 : 530,184 = 530,184 : x
  2. Step 2: Convert to fraction form
    242,964/530,184 = 530,184/x
  3. Step 3: Cross multiply
    242,964x = 530,184 × 530,184
  4. Step 4: Simplify right side
    242,964x = 281,095,073,856
  5. Step 5: Solve for x
    x = 281,095,073,856/242,964
  6. Step 6: Final answer
    x = 1,156,941.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.