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Finding the Third Proportional to 163,824 and 358,428

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Solution

The third proportional to 163,824 and 358,428 is: 784,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,824 : 358,428 = 358,428 : x
  2. Step 2: Convert to fraction form
    163,824/358,428 = 358,428/x
  3. Step 3: Cross multiply
    163,824x = 358,428 × 358,428
  4. Step 4: Simplify right side
    163,824x = 128,470,631,184
  5. Step 5: Solve for x
    x = 128,470,631,184/163,824
  6. Step 6: Final answer
    x = 784,199.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.