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Finding the Third Proportional to 160,133 and 249,272

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Solution

The third proportional to 160,133 and 249,272 is: 388,030.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,133 : 249,272 = 249,272 : x
  2. Step 2: Convert to fraction form
    160,133/249,272 = 249,272/x
  3. Step 3: Cross multiply
    160,133x = 249,272 × 249,272
  4. Step 4: Simplify right side
    160,133x = 62,136,529,984
  5. Step 5: Solve for x
    x = 62,136,529,984/160,133
  6. Step 6: Final answer
    x = 388,030.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.