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Finding the Third Proportional to 169,604 and 249,222

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Solution

The third proportional to 169,604 and 249,222 is: 366,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,604 : 249,222 = 249,222 : x
  2. Step 2: Convert to fraction form
    169,604/249,222 = 249,222/x
  3. Step 3: Cross multiply
    169,604x = 249,222 × 249,222
  4. Step 4: Simplify right side
    169,604x = 62,111,605,284
  5. Step 5: Solve for x
    x = 62,111,605,284/169,604
  6. Step 6: Final answer
    x = 366,215.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.