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Finding the Third Proportional to 164,308 and 249,540

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Solution

The third proportional to 164,308 and 249,540 is: 378,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,308 : 249,540 = 249,540 : x
  2. Step 2: Convert to fraction form
    164,308/249,540 = 249,540/x
  3. Step 3: Cross multiply
    164,308x = 249,540 × 249,540
  4. Step 4: Simplify right side
    164,308x = 62,270,211,600
  5. Step 5: Solve for x
    x = 62,270,211,600/164,308
  6. Step 6: Final answer
    x = 378,984.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.