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Finding the Third Proportional to 163,748 and 358,046

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Solution

The third proportional to 163,748 and 358,046 is: 782,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,748 : 358,046 = 358,046 : x
  2. Step 2: Convert to fraction form
    163,748/358,046 = 358,046/x
  3. Step 3: Cross multiply
    163,748x = 358,046 × 358,046
  4. Step 4: Simplify right side
    163,748x = 128,196,938,116
  5. Step 5: Solve for x
    x = 128,196,938,116/163,748
  6. Step 6: Final answer
    x = 782,891.63

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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.